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 tec...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-05-01
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| Series: | Algorithms |
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| Online Access: | https://www.mdpi.com/1999-4893/18/5/264 |
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| author | Mohammad Saeid Abolhassanifar Reza Saadati Mohammad Bagher Ghaemi Donal O’Regan |
| author_facet | Mohammad Saeid Abolhassanifar Reza Saadati Mohammad Bagher Ghaemi Donal O’Regan |
| author_sort | Mohammad Saeid Abolhassanifar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3dfe89ef4f6d44ee96657e810a86fb39 |
| institution | DOAJ |
| issn | 1999-4893 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj-art-3dfe89ef4f6d44ee96657e810a86fb392025-08-20T03:14:38ZengMDPI AGAlgorithms1999-48932025-05-0118526410.3390/a18050264Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential SystemsMohammad Saeid Abolhassanifar0Reza Saadati1Mohammad Bagher Ghaemi2Donal O’Regan3School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 13114-16846, IranSchool of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 13114-16846, IranSchool of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 13114-16846, IranSchool of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, IrelandThis 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.https://www.mdpi.com/1999-4893/18/5/264Caputo derivativefuzzyfractional equationMittag–LefflerLaplace transform |
| spellingShingle | Mohammad Saeid Abolhassanifar Reza Saadati Mohammad Bagher Ghaemi Donal O’Regan Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems Algorithms Caputo derivative fuzzy fractional equation Mittag–Leffler Laplace transform |
| title | Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems |
| title_full | Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems |
| title_fullStr | Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems |
| title_full_unstemmed | Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems |
| title_short | Existence and Mittag–Leffler Stability for the Solution of a Fuzzy Fractional System with Application of Laplace Transforms to Solve Fractional Differential Systems |
| title_sort | existence and mittag leffler stability for the solution of a fuzzy fractional system with application of laplace transforms to solve fractional differential systems |
| topic | Caputo derivative fuzzy fractional equation Mittag–Leffler Laplace transform |
| url | https://www.mdpi.com/1999-4893/18/5/264 |
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