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A fully Hadamard and Erdélyi-Kober-type integral boundary value problem of a coupled system of implicit differential equations. (English) Zbl 1423.34007

Summary: 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 Erdélyi-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.

MSC:

34A08 Fractional ordinary differential equations
26A33 Fractional derivatives and integrals
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34G25 Evolution inclusions
47N20 Applications of operator theory to differential and integral equations
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