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On a fractional Caputo–Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators

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We investigate the existence of solutions for a Caputo–Hadamard fractional integro-differential equation with boundary value conditions involving the Hadamard fractional operators via different orders. By using the Krasnoselskii’s fixed point… Click to show full abstract

We investigate the existence of solutions for a Caputo–Hadamard fractional integro-differential equation with boundary value conditions involving the Hadamard fractional operators via different orders. By using the Krasnoselskii’s fixed point theorem, the Leray–Schauder nonlinear alternative, and the Banach contraction principle, we prove our main results. Also, we provide three examples to illustrate our main results.

Keywords: hadamard fractional; via different; fractional operators; boundary value; caputo hadamard; value conditions

Journal Title: Advances in Difference Equations
Year Published: 2020

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