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On a nonlinear coupled system of differential equations involving Hilfer fractional derivative and Riemann-Liouville mixed operators with nonlocal integro-multi-point boundary conditions
AIMS Mathematics 2022, 7(7): 12718-12741
Published: 15 July 2022
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We study a coupled system of multi-term Hilfer fractional differential equations of different orders involving non-integral and autonomous type Riemann-Liouville mixed integral nonlinearities supplemented with nonlocal coupled multi-point and Riemann-Liouville integral boundary conditions. The uniqueness result for the given problem is based on the contraction mapping principle, while the existence results are derived with the aid of Krasnosel'ski {\rm{\mathord{\buildrel{\lower3pt\hbox{ \scriptscriptstyle\smile }} \over i} }} 's fixed point theorem and Leray-Schauder nonlinear alternative. Examples illustrating the main results are presented.

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