Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions

Kamal Shah; Muhammad Sarwar; Thabet Abdeljawad; Shafiullah

doi:10.1007/s12190-024-02033-3

Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions

Kamal Shah, Muhammad Sarwar, Thabet Abdeljawad^*, Shafiullah

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.

Original language	English
Pages (from-to)	1771-1785
Number of pages	15
Journal	Journal of Applied Mathematics and Computing
Volume	70
Issue number	2
DOIs	https://doi.org/10.1007/s12190-024-02033-3
Publication status	Published - Apr 2024
Externally published	Yes

Keywords

26A33
28A80
34A08
Coupled system
Fractal-fractional derivative
Karsnoselskii’s fixed point theorem

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10.1007/s12190-024-02033-3

Cite this

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abstract = "A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii{\textquoteright}s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.",

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author = "Kamal Shah and Muhammad Sarwar and Thabet Abdeljawad and Shafiullah",

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AU - Sarwar, Muhammad

AU - Abdeljawad, Thabet

AU - Shafiullah,

N1 - Publisher Copyright: © The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2024.

PY - 2024/4

Y1 - 2024/4

N2 - A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.

AB - A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.

KW - 26A33

KW - 28A80

KW - 34A08

KW - Coupled system

KW - Fractal-fractional derivative

KW - Karsnoselskii’s fixed point theorem

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ER -

Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions

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Keywords

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