A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative.

Authors :: Vivek, D.
Kanagarajan, K.
Elsayed, E. M.
Source :: General Mathematics. 2019, Vol. 27 Issue 1, p71-84. 14p.
Publication Year :: 2019
Abstract: In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer's fixed point theorem. Some Ulam stability results are presented. [ABSTRACT FROM AUTHOR]

Subjects :: *INTEGRO-differential equations
*FRACTIONAL calculus
*FIXED point theory
*STABILITY theory
*NONLINEAR operators

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