- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- A fully Hadamard and Erdelyi-Kober-type integral boundary value problem of a coupled system of impli...
A fully Hadamard and Erdelyi-Kober-type integral boundary value problem of a coupled system of implicit differential equations
Authors : Fatima Zohra Berrabah, Benaouda Hedia, Johnny Henderson
Pages : 1308-1329
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this article, we give sufficient conditions for the existence of solutions for a new coupled system of second-order implicit differential equations with Hadamard and Erdelyi-Kober fractional integral boundary conditions and nonlocal conditions at the boundaries in Banach space. The main result is based on a Mönch fixed point theorem combined with the measure of noncompactness of Kuratowski; an example is given to illustrate our approach.Keywords : Hadamard fractional derivative, Erdelyi--Kober fractional integral, Caputo fractional derivative, measure of noncompactness of Kuratowski, Mönch fixed point theorem, coupled system of differential equations