Dirichlet Averages, Fractional Integral Operators and Solution of Euler-Darboux Equation on Hölder Spaces

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DOI: 10.4236/am.2016.714129    1,867 Downloads   2,679 Views  Citations
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ABSTRACT

In the present paper, we discuss the solution of Euler-Darboux equation in terms of Dirichlet averages of boundary conditions on H?lder space and weighted H?lder spaces of continuous functions using Riemann-Liouville fractional integral operators. Moreover, the results are interpreted in alternative form.

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Vyas, D. (2016) Dirichlet Averages, Fractional Integral Operators and Solution of Euler-Darboux Equation on Hölder Spaces. Applied Mathematics, 7, 1498-1503. doi: 10.4236/am.2016.714129.

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