The application of Meir-Keeler condensing operators to a new class of fractional differential equations involving psi-Caputo fractional derivative

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Ba-De-Ben-C-JNVA-2021.pdf (200.17 KB)
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URI: https://hdl.handle.net/10347/37853
ISSN: 2560-6921
E-ISSN: 2560-6778
DOI: 10.23952/jnva.5.2021.4.05

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2021-08-01

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Biemdas Academic Publishers
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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.

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Psi-Caputo fractional derivative| Dirichlet boundary conditions| Meir-Keeler condensing operators| Fixed point theorem| Measures of noncompactness

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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

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The fourth author was partially supported by Xunta de Galicia (Spain), project EM2014/032 the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)
Estatística, Análise Matemática e Optimización