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Algorithms
Volume 18
Issue 5
10.3390/a18050264
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems

by
Mohammad Saeid Abolhassanifar
1,†,
Reza Saadati
1,†,
Mohammad Bagher Ghaemi
1,† and
Donal O’Regan
2,*,†
1
School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran
2
School of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, Ireland
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Algorithms 2025, 18(5), 264; https://doi.org/10.3390/a18050264 (registering DOI)
Submission received: 11 April 2025 / Revised: 29 April 2025 / Accepted: 30 April 2025 / Published: 3 May 2025
(This article belongs to the Special Issue Mathematical Modelling in Engineering and Human Behaviour (3rd Edition))
Versions Notes

Abstract

This study explores the existence and Mittag–Leffler stability of solutions for fuzzy fractional systems that include Caputo derivatives and ordinary derivatives with non-local conditions using the Schauder fixed-point theorem. Following this, we employ the Laplace transform method and numerical techniques to create iterative methods for obtaining exact and approximate solutions.
Keywords: Caputo derivative; fuzzy; fractional equation; Mittag–Leffler; Laplace transform Caputo derivative; fuzzy; fractional equation; Mittag–Leffler; Laplace transform

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MDPI and ACS Style

Abolhassanifar, M.S.; Saadati, R.; Ghaemi, M.B.; O’Regan, D. Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems. Algorithms 2025, 18, 264. https://doi.org/10.3390/a18050264

AMA Style

Abolhassanifar MS, Saadati R, Ghaemi MB, O’Regan D. Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems. Algorithms. 2025; 18(5):264. https://doi.org/10.3390/a18050264

Chicago/Turabian Style

Abolhassanifar, Mohammad Saeid, Reza Saadati, Mohammad Bagher Ghaemi, and Donal O’Regan. 2025. "Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems" Algorithms 18, no. 5: 264. https://doi.org/10.3390/a18050264

APA Style

Abolhassanifar, M. S., Saadati, R., Ghaemi, M. B., & O’Regan, D. (2025). Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems. Algorithms, 18(5), 264. https://doi.org/10.3390/a18050264

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