EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR

Washmin Ara Begum; Rituparna Das

EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR

Abstract

In this paper, we investigate the existence of solutions of an infinite system of fractional differential equations in the sequence spaces $n(\phi)$. We use the Meir-Keeler condensing operator concept in conjunction with the Hausdorff measure of noncompactness to study the solvability, and we include suitable examples to demonstrate our findings. Additionally, we incorporate a combined semi-analytical method of modified Homotopy Perturbation Method along with the Adomian Decomposition Method to approximate solutions for the system. The examples presented further substantiate the effectiveness of the proposed approach while enabling practical estimation of solutions to the infinite system.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Washmin Ara Begum
0009-0000-0410-3427
India

Rituparna Das ^*
0000-0003-0288-1328
India

Publication Date

October 6, 2026

Submission Date

June 21, 2025

Acceptance Date

January 27, 2026

Published in Issue

Year 2026 Volume: 16 Number: 10

IZ

https://izlik.org/JA62CR24SK

Cite

RIS / Bibtex

APA

Begum, W. A., & Das, R. (2026). EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR. TWMS Journal of Applied and Engineering Mathematics, 16(10), 1187-1206. https://izlik.org/JA62CR24SK

AMA

1.Begum WA, Das R. EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR. JAEM. 2026;16(10):1187-1206. https://izlik.org/JA62CR24SK

Chicago

Begum, Washmin Ara, and Rituparna Das. 2026. “EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR”. TWMS Journal of Applied and Engineering Mathematics 16 (10): 1187-1206. https://izlik.org/JA62CR24SK.

EndNote

Begum WA, Das R (October 1, 2026) EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR. TWMS Journal of Applied and Engineering Mathematics 16 10 1187–1206.

IEEE

[1]W. A. Begum and R. Das, “EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR”, JAEM, vol. 16, no. 10, pp. 1187–1206, Oct. 2026, [Online]. Available: https://izlik.org/JA62CR24SK

ISNAD

Begum, Washmin Ara - Das, Rituparna. “EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR”. TWMS Journal of Applied and Engineering Mathematics 16/10 (October 1, 2026): 1187-1206. https://izlik.org/JA62CR24SK.

JAMA

1.Begum WA, Das R. EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR. JAEM. 2026;16:1187–1206.

MLA

Begum, Washmin Ara, and Rituparna Das. “EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 10, Oct. 2026, pp. 1187-06, https://izlik.org/JA62CR24SK.

Vancouver

1.Washmin Ara Begum, Rituparna Das. EXISTENCE OF SOLUTION FOR INFINITE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATION IN THE SEQUENCE SPACE $n(\phi)$ USING MEIR-KEELER CONDENSING OPERATOR. JAEM [Internet]. 2026 Oct. 1;16(10):1187-206. Available from: https://izlik.org/JA62CR24SK