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

Issue

Vol. 34 No. 4 (2025): JOCAAA

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.