GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS

Abdelmjid Benmerrous; Lalla Saadia Chadli; M'hamed Elomari

GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS

Abstract

In this paper, we use the Colombeau generalized algebra to prove the existence and uniqueness of the solution of fractional heat equation with singular potentials (i.e., singular distributions). The concept of a generalized fractional semigroup was used to prove the result.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Partial Differential Equations

Journal Section

Research Article

Authors

Abdelmjid Benmerrous ^* This is me
0000-0001-9620-8161
Morocco

Lalla Saadia Chadli This is me
Morocco

M'hamed Elomari
Morocco

Publication Date

January 8, 2026

Submission Date

December 8, 2024

Acceptance Date

June 24, 2025

Published in Issue

Year 2026 Volume: 16 Number: 1

IZ

https://izlik.org/JA46BC85BM

Cite

RIS / Bibtex

APA

Benmerrous, A., Chadli, L. S., & Elomari, M. (2026). GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS. TWMS Journal of Applied and Engineering Mathematics, 16(1), 16-31. https://izlik.org/JA46BC85BM

AMA

1.Benmerrous A, Chadli LS, Elomari M. GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS. JAEM. 2026;16(1):16-31. https://izlik.org/JA46BC85BM

Chicago

Benmerrous, Abdelmjid, Lalla Saadia Chadli, and M’hamed Elomari. 2026. “GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS”. TWMS Journal of Applied and Engineering Mathematics 16 (1): 16-31. https://izlik.org/JA46BC85BM.

EndNote

Benmerrous A, Chadli LS, Elomari M (January 1, 2026) GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS. TWMS Journal of Applied and Engineering Mathematics 16 1 16–31.

IEEE

[1]A. Benmerrous, L. S. Chadli, and M. Elomari, “GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS”, JAEM, vol. 16, no. 1, pp. 16–31, Jan. 2026, [Online]. Available: https://izlik.org/JA46BC85BM

ISNAD

Benmerrous, Abdelmjid - Chadli, Lalla Saadia - Elomari, M’hamed. “GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS”. TWMS Journal of Applied and Engineering Mathematics 16/1 (January 1, 2026): 16-31. https://izlik.org/JA46BC85BM.

JAMA

1.Benmerrous A, Chadli LS, Elomari M. GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS. JAEM. 2026;16:16–31.

MLA

Benmerrous, Abdelmjid, et al. “GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 1, Jan. 2026, pp. 16-31, https://izlik.org/JA46BC85BM.

Vancouver

1.Abdelmjid Benmerrous, Lalla Saadia Chadli, M’hamed Elomari. GENERALIZED FRACTIONAL HEAT EQUATION IN EXTENDED COLOMBEAU ALGEBRAS. JAEM [Internet]. 2026 Jan. 1;16(1):16-31. Available from: https://izlik.org/JA46BC85BM