On Nonlinear Ψ-Caputo Fractional Integro Differential Equations Involving Non-Instantaneous Conditions

We propose a solution to the symmetric nonlinear Ψ-Caputo fractional integro differential equations involving non-instantaneous impulsive boundary conditions. We investigate the existence and uniqueness of the solution for the proposed problem. Banach contraction theorem is employed to prove the uni...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-01, Vol.15 (1), p.5
Main Authors: Arul, Ramasamy, Karthikeyan, Panjayan, Karthikeyan, Kulandhaivel, Geetha, Palanisamy, Alruwaily, Ymnah, Almaghamsi, Lamya, El-hady, El-sayed
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Caputo fractional derivative
Differential equations
existence and uniqueness
fractional boundary conditions
fractional differential equations
Mathematical analysis
Porous materials
Uniqueness
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Summary:We propose a solution to the symmetric nonlinear Ψ-Caputo fractional integro differential equations involving non-instantaneous impulsive boundary conditions. We investigate the existence and uniqueness of the solution for the proposed problem. Banach contraction theorem is employed to prove the uniqueness results, while Krasnoselkii’s fixed point technique is used to prove the existence results. Additionally, an example is used to explain the results. In this manner, our results represent generalized versions of some recent interesting contributions.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15010005