The Study of the Existence and Uniqueness of Solutions to the Separated  Fractional Boundary Value Problem Using the Banach Fixed Point  Theorem

DJEBAILI Manel

The Study of the Existence and Uniqueness of Solutions to the Separated Fractional Boundary Value Problem Using the Banach Fixed Point Theorem

Authors

DJEBAILI Manel

Keywords:

Fractional differential equations, separated fractional boundary conditions, Banach fixed point theorem, existence.

Abstract

In this work, we investigate a novel class of boundary value problems involving nonlineardifferential equations with fractional derivatives. The nonlinearity f depends on a fractionalderivative of lower order, and the boundary conditions are given in a separated form:

References

M. A. El-Sayed, Fractional order evolution equations, J. Fract. Calc. 7 (1995), 89-100

R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore, 2000

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Published

2025-05-09

How to Cite

DJEBAILI Manel. (2025). The Study of the Existence and Uniqueness of Solutions to the Separated Fractional Boundary Value Problem Using the Banach Fixed Point Theorem . Journal of Computational Analysis and Applications (JoCAAA), 34(4), 985–992. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/2605