## Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra, Alberto Cabada, The application of Meir-Keeler condensing operators to a new class of fractional differential equations involving $\psi$-Caputo fractional derivative

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DOI: 10.23952/jnva.5.2021.4.05

Volume 5, Issue 4, 1 August 2021, Pages 561-572

Abstract. In this paper, we discuss the existence of solutions for a new class of nonlinear differential equations involving the $\psi$-Caputo fractional derivative with Dirichlet boundary conditions in Banach spaces. Our approach is based on a new fixed point theorem with respect to Meir-Keeler condensing operators. Two illustrative examples are also given in support of our existence results.

Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra, Alberto Cabada, The application of Meir-Keeler condensing operators to a new class of fractional differential equations involving $\psi$-Caputo fractional derivative, J. Nonlinear Var. Anal. 5 (2021), 561-572.