A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions

Djamel-eddine Hettadj; Djourdem Habib

doi:10.32323/ujma.1653542

EN

A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions

Abstract

In this paper, we investigate the existence of solutions for a sequential fractional differential equation involving Caputo-type derivative subject to mixed boundary conditions. The core results are derived by employing Krasnoselskii's fixed point theorem and the Leray-Schauder fixed point theorem. We end this study by two illustrative numerical examples, which validate the applicability of our obtained results.

Keywords

Boundary value problem, Caputo fractional derivative, Existence, Fixed point theorem, Sequential fractional derivative

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Djamel-eddine Hettadj
0009-0002-3448-1570
Algeria

Djourdem Habib ^*
0000-0002-7992-581X
Algeria

Early Pub Date

May 29, 2025

Publication Date

June 27, 2025

Submission Date

March 7, 2025

Acceptance Date

April 30, 2025

Published in Issue

Year 2025 Volume: 8 Number: 2

DOI

https://doi.org/10.32323/ujma.1653542

IZ

https://izlik.org/JA99AM42JA

APA

Hettadj, D.- eddine, & Habib, D. (2025). A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions. Universal Journal of Mathematics and Applications, 8(2), 56-70. https://doi.org/10.32323/ujma.1653542

AMA

1.Hettadj D eddine, Habib D. A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions. Univ. J. Math. Appl. 2025;8(2):56-70. doi:10.32323/ujma.1653542

Chicago

Hettadj, Djamel-eddine, and Djourdem Habib. 2025. “A Study of Caputo Sequential Fractional Differential Equations With Mixed Boundary Conditions”. Universal Journal of Mathematics and Applications 8 (2): 56-70. https://doi.org/10.32323/ujma.1653542.

EndNote

Hettadj D- eddine, Habib D (June 1, 2025) A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions. Universal Journal of Mathematics and Applications 8 2 56–70.

IEEE

[1]D.- eddine Hettadj and D. Habib, “A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions”, Univ. J. Math. Appl., vol. 8, no. 2, pp. 56–70, June 2025, doi: 10.32323/ujma.1653542.

ISNAD

Hettadj, Djamel-eddine - Habib, Djourdem. “A Study of Caputo Sequential Fractional Differential Equations With Mixed Boundary Conditions”. Universal Journal of Mathematics and Applications 8/2 (June 1, 2025): 56-70. https://doi.org/10.32323/ujma.1653542.

JAMA

1.Hettadj D- eddine, Habib D. A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions. Univ. J. Math. Appl. 2025;8:56–70.

MLA

Hettadj, Djamel-eddine, and Djourdem Habib. “A Study of Caputo Sequential Fractional Differential Equations With Mixed Boundary Conditions”. Universal Journal of Mathematics and Applications, vol. 8, no. 2, June 2025, pp. 56-70, doi:10.32323/ujma.1653542.

Vancouver

1.Djamel-eddine Hettadj, Djourdem Habib. A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions. Univ. J. Math. Appl. 2025 Jun. 1;8(2):56-70. doi:10.32323/ujma.1653542