On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives

This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder...

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Bibliographic Details
Published in:Journal of function spaces 2022, Vol.2022, p.1-10
Main Authors: Abbas, M. I., Ghaderi, M., Rezapour, Sh, Thabet, S. T. M.
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Calculus
Differential equations
Existence theorems
Fixed points (mathematics)
Fractional calculus
Integrals
Mathematical analysis
Mathematicians
Uniqueness
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Summary:This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder and Banach fixed point theorems, we study the existence and uniqueness of solutions for the aforesaid system. Finally, we present an example to validate our theoretical outcomes.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/4779213