Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation

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Applied Mathematics

ISSN Print: 2152-7385
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"Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation"
written by Mohammed S. Mechee, Norazak Senu,
published by Applied Mathematics, Vol.3 No.8, 2012

has been cited by the following article(s):

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[2]	Numerical Method for Solving Fractional Order Optimal Control Problems with Free and Non-Free Terminal Time
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[3]	Novel Definitions of α-Fractional Integral and Derivative of the Functions
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[4]	Numerical Method for Solving Fractional Order Optimal Control Problems with Free and Non-Free Terminal Time. Symmetry 2023, 15, 624
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[5]	A coupled system of q-fractional Lane-Emden problem involving three sequential q-fractional derivatives with stability inequality
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[6]	Non differentiable Solutions for Nonlinear Lane–Emden Equation and Emden–Fowler Equation within Local Fractional Derivative
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[10]	République Algérienne Démocratique et Populaire
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[12]	New analytical method of solution to a nonlinear singular fractional Lane–Emden type equation
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[13]	FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems
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[14]	An efficient hybrid computational technique for the time dependent Lane-Emden equation of arbitrary order
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[15]	Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics
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[16]	Approximate Analytical Solution of Fractional Lane-Emden Equation by Mittag-Leffler Function Method
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[17]	Generalized Euler and Runge-Kutta methods for solving classes of fractional ordinary differential equations
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[18]	Analytical Solutions of a Class of Fractional Lane–Emden Equation: A Power Series Method
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[19]	Stability of solutions for two classes of fractional differential equations of Lane-Emden type
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[20]	Wavelet Theory: Applications of the Wavelet
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[21]	On a fractional problem of Lane–Emden type: Ulam type stabilities and numerical behaviors
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[22]	A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems
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[23]	An anti-periodic singular fractional differential problem of Lane-Emden type
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[24]	Sumudu transform for solving some classes of fractional differential equations
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[25]	The Pantograph equation with nonlocal conditions via Kantugampola fractional derivative
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[26]	Caputo-Hadamard approach applications: solvability for an integro-differential problem of Lane and Emden type
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[27]	Solvability for a class of nonlocal singular fractional differential equations of Lane Emden type
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[28]	Numerical methods for solving Lane-Emden type differential equations by operational matrix of fractional derivative of modified generalized Laguerre …
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[29]	A novel Chebyshev neural network approach for solving singular arbitrary order Lane-Emden equation arising in astrophysics
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[30]	A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type
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[32]	Application of MHPM for Solving Semi-Linear Fractional Differential Equations
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[33]	Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type
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[34]	A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation
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[35]	Generalized Bessel polynomial for multi-order fractional differential equations
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[36]	Fractional Singular Differential Systems of Lane–Emden Type: Existence and Uniqueness of Solutions
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[37]	A generalized sequential problem of Lane-Emden type via fractional calculus
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[38]	ULAM-HYERS-RASSIAS STABILITY OF FRACTIONAL LANE-EMDEN EQUATIONS.
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[39]	A TWO-PARAMETER SINGULAR FRACTIONAL DIFFERENTIAL EQUATION OF LANE EMDEN TYPE
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[40]	Simulation of nonlinear fractional dynamics arising in the modeling of cognitive decision making using a new fractional neural network
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[41]	A novel design of fractional Mayer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems
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[42]	Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative
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[43]	A class of nonlinear singular differential equations
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[44]	Haar Wavelet Technique for Solving Fractional Differential Equations with An Application
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[45]	Polynomial Least Squares Method for Fractional Lane–Emden Equations
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[46]	Approximate Solution of Fractional Order Lane–Emden Type Differential Equation by Orthonormal Bernoulli's Polynomials
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[47]	Numerical study of singular fractional Lane–Emden type equations arising in astrophysics
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[48]	A Lane Emden Type Problem Involving Caputo Derivative and Riemann-Liouville Integral
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[49]	ULAM-HYERS-RASSIAS STABILITY OF FRACTIONAL LANE-EMDEN EQUATIONSS
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[50]	Ulam-Hyers-Rassias Stability of Fractional Lane-Emden Equations
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[51]	An Efficient Numerical Method For Solving Nonlinear Astrophysics Equations of Arbitrary Order
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[52]	The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
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[53]	The Lane-Emden fractional homogeneous differential equation
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[54]	Novel orthogonal functions for solving differential equations of arbitrary order
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[58]	THE HIGHT ORDER LANE-EMDEN FRACTIONAL DIFFERENTIAL SYSTEM: EXISTENCE, UNIQUENESS AND ULAM TYPE STABILITIES
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[60]	Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
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[62]	Thème
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[63]	ON CERTAIN SINGULAR BOUNDARY VALUE PROBLEMS AND INTEGRAL INEQUALITIES


[64]	New problem of Lane Emden type via fractional calculus

[1]	Generalized RKM methods for solving fifth-order quasi-linear fractional partial differential equation Open Engineering, 2024 DOI:10.1515/eng-2022-0504

[2]	Numerical Method for Solving Fractional Order Optimal Control Problems with Free and Non-Free Terminal Time Symmetry, 2023 DOI:10.3390/sym15030624

[3]	Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics International Journal of Nonlinear Sciences and Numerical Simulation, 2023 DOI:10.1515/ijnsns-2021-0092

[4]	The pantograph equation with nonlocal conditions via Katugampola fractional derivative Malaya Journal of Matematik, 2023 DOI:10.26637/mjm1103/008

[5]	A Sequential Differential Problem With Caputo and Riemann Liouville Derivatives Involving Convergent Series Advances in the Theory of Nonlinear Analysis and its Application, 2023 DOI:10.31197/atnaa.1224234

[6]	Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function Alexandria Engineering Journal, 2022 DOI:10.1016/j.aej.2022.04.004

[7]	FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems Neural Computing and Applications, 2022 DOI:10.1007/s00521-021-06452-2

[8]	An efficient hybrid computational technique for the time dependent Lane-Emden equation of arbitrary order Journal of Ocean Engineering and Science, 2022 DOI:10.1016/j.joes.2021.07.004

[9]	Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics International Journal of Nonlinear Sciences and Numerical Simulation, 2022 DOI:10.1515/ijnsns-2021-0092

[10]	Approximate Analytical Solution of Fractional Lane-Emden Equation by Mittag-Leffler Function Method Journal of the Nigerian Society of Physical Sciences, 2022 DOI:10.46481/jnsps.2022.687

[11]	Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function Alexandria Engineering Journal, 2022 DOI:10.1016/j.aej.2022.04.004

[12]	Analytical Solutions of a Class of Fractional Lane–Emden Equation: A Power Series Method International Journal of Applied and Computational Mathematics, 2022 DOI:10.1007/s40819-022-01354-w

[13]	New analytical method of solution to a nonlinear singular fractional Lane–Emden type equation AIMS Mathematics, 2022 DOI:10.3934/math.20221072

[14]	Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function Alexandria Engineering Journal, 2022 DOI:10.1016/j.aej.2022.04.004

[15]	Wavelet Theory 2021 DOI:10.5772/intechopen.94911

[16]	On a fractional problem of Lane–Emden type: Ulam type stabilities and numerical behaviors Advances in Difference Equations, 2021 DOI:10.1186/s13662-021-03483-w

[17]	Solvability for a class of nonlocal singular fractional differential equations of Lane Emden type Journal of Interdisciplinary Mathematics, 2021 DOI:10.1080/09720502.2020.1820191

[18]	An anti-periodic singular fractional differential problem of Lane-Emden type Journal of Interdisciplinary Mathematics, 2021 DOI:10.1080/09720502.2020.1848318

[19]	Stability of solutions for two classes of fractional differential equations of Lane-Emden type Journal of Interdisciplinary Mathematics, 2021 DOI:10.1080/09720502.2020.1856343

[20]	A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems Alexandria Engineering Journal, 2021 DOI:10.1016/j.aej.2021.01.004

[21]	A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.6444

[22]	Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type Journal of the Nigerian Society of Physical Sciences, 2020 DOI:10.46481/jnsps.2020.69

[23]	Generalized Bessel Polynomial for Multi-Order Fractional Differential Equations Symmetry, 2020 DOI:10.3390/sym12081260

[24]	Fractional Singular Differential Systems of Lane–Emden Type: Existence and Uniqueness of Solutions Axioms, 2020 DOI:10.3390/axioms9030095

[25]	A novel Chebyshev neural network approach for solving singular arbitrary order Lane-Emden equation arising in astrophysics Network: Computation in Neural Systems, 2020 DOI:10.1080/0954898X.2020.1807636

[26]	A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation New Astronomy, 2020 DOI:10.1016/j.newast.2019.101307

[27]	Simulation of nonlinear fractional dynamics arising in the modeling of cognitive decision making using a new fractional neural network Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.5981

[28]	A generalized sequential problem of Lane-Emden type via fractional calculus Moroccan Journal of Pure and Applied Analysis, 2020 DOI:10.2478/mjpaa-2020-0013

[29]	A generalized sequential problem of Lane-Emden type via fractional calculus Moroccan Journal of Pure and Applied Analysis, 2020 DOI:10.2478/mjpaa-2020-0013

[30]	A generalized sequential problem of Lane-Emden type via fractional calculus Moroccan Journal of Pure and Applied Analysis, 2020 DOI:10.2478/mjpaa-2020-0013

[31]	Simulation of nonlinear fractional dynamics arising in the modeling of cognitive decision making using a new fractional neural network Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.5981

[32]	A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.6444

[33]	A generalized sequential problem of Lane-Emden type via fractional calculus Moroccan Journal of Pure and Applied Analysis, 2020 DOI:10.2478/mjpaa-2020-0013

[34]	Fractional Singular Differential Systems of Lane–Emden Type: Existence and Uniqueness of Solutions Axioms, 2020 DOI:10.3390/axioms9030095

[35]	Generalized Bessel Polynomial for Multi-Order Fractional Differential Equations Symmetry, 2020 DOI:10.3390/sym12081260

[36]	Polynomial Least Squares Method for Fractional Lane–Emden Equations Symmetry, 2019 DOI:10.3390/sym11040479

[37]	A class of nonlinear singular differential equations Journal of Interdisciplinary Mathematics, 2019 DOI:10.1080/09720502.2019.1698805

[38]	Haar wavelet technique for solving fractional differential equations with an application 2019 DOI:10.1063/1.5095110

[39]	Polynomial Least Squares Method for Fractional Lane–Emden Equations Symmetry, 2019 DOI:10.3390/sym11040479

[40]	Approximate Solution of Fractional Order Lane–Emden Type Differential Equation by Orthonormal Bernoulli’s Polynomials International Journal of Applied and Computational Mathematics, 2019 DOI:10.1007/s40819-019-0677-0

[41]	Numerical study of singular fractional Lane–Emden type equations arising in astrophysics Journal of Astrophysics and Astronomy, 2019 DOI:10.1007/s12036-019-9587-0

[42]	Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative Alexandria Engineering Journal, 2019 DOI:10.1016/j.aej.2019.11.012

[43]	Novel orthogonal functions for solving differential equations of arbitrary order Tbilisi Mathematical Journal, 2017 DOI:10.1515/tmj-2017-0004

[44]	Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique Advances in Difference Equations, 2015 DOI:10.1186/s13662-015-0558-8

[45]	Approximate Solutions of Fisher's Type Equations with Variable Coefficients Abstract and Applied Analysis, 2013 DOI:10.1155/2013/176730

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	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

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