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

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.

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Publication Details

Journal
Algorithms
Published
2025-05-03
DOI
https://doi.org/10.3390/a18050264
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
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article

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

Reza Saadati, Donal O’Regan, Mohammad Bagher Ghaemi, Mohammad Saeid Abolhassanifar
Algorithms
Fuzzy Systems and Optimization
article

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

Reza Saadati, Donal O’Regan, Mohammad Bagher Ghaemi, Mohammad Saeid Abolhassanifar
article en

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.

AlgorithmsVol. 18(5)
Ollscoil na Gaillimhe – University of Galway (IE), Iran University of Science and Technology (IR)
Openalex Percentile: Top 90%
Fuzzy Systems and Optimization
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