On the existence of solutions for multi-term p-Laplacian fractional differential equations with anti-periodic boundary conditions

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Abstract

This paper investigates the anti-periodic boundary value problem for multi-term fractional differential equations that involve the p-Laplacian operator. We establish existence results by separately applying the Leray-Schauder nonlinear alternative and the Krasnosel’skii’s fixed point theorem. Finally, two illustrative examples are presented to demonstrate the effectiveness of the main results.

Keywords

multi-term fractional differential equation / anti-periodic boundary condition / fixed point theorem / existence

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