The Impulsive Coupled Langevin ψ-Caputo Fractional Problem with Slit-Strip-Generalized-Type Boundary Conditions

In this paper, the existence of a unique solution is established for a coupled system of Langevin fractional problems of ψ-Caputo fractional derivatives with generalized slit-strip-type integral boundary conditions and impulses using the Banach contraction principle. We also find at least one soluti...

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Bibliographic Details
Published in:Fractal and fractional 2023-12, Vol.7 (12), p.837
Main Authors: Ali Khan, Haroon Niaz, Zada, Akbar, Popa, Ioan-Lucian, Ben Moussa, Sana
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Brownian motion
Calculus
coupled system
Fixed points (mathematics)
integro-multipoint–multistrip boundary conditions
Mathematical functions
Schaefer’s fixed point theorem
Strip
Ulam–Hyers stability
ψ-Caputo fractional derivative
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Summary:In this paper, the existence of a unique solution is established for a coupled system of Langevin fractional problems of ψ-Caputo fractional derivatives with generalized slit-strip-type integral boundary conditions and impulses using the Banach contraction principle. We also find at least one solution to the aforementioned system using some assumptions and Schaefer’s fixed point theorem. After that, Ulam–Hyers stability is discussed. Finally, to provide additional support for the main results, pertinent examples are presented.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7120837