Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory
This article aims to investigate the existence and uniqueness of solutions to impulsive fractional differential equations. Firstly, we show a formula for solutions to an impulsive fractional problem involving a generalization of the classical Caputo derivative with a nonlocal condition in a Banach s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Results in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037423000237 |
| _version_ | 1827937299104530432 |
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| author | Taghareed A. Faree Satish K. Panchal |
| author_facet | Taghareed A. Faree Satish K. Panchal |
| author_sort | Taghareed A. Faree |
| collection | DOAJ |
| description | This article aims to investigate the existence and uniqueness of solutions to impulsive fractional differential equations. Firstly, we show a formula for solutions to an impulsive fractional problem involving a generalization of the classical Caputo derivative with a nonlocal condition in a Banach space. Secondly, some sufficient conditions for the existence of solutions are established by applying fixed point methods. Furthermore, we reconsider some of operators for deriving the existence and uniqueness of the solution to impulsive fractional problem using topological degree techniques. The results support this in one example. |
| first_indexed | 2024-03-13T08:23:31Z |
| format | Article |
| id | doaj.art-32a74352fbb74ed6b95aa501059d363d |
| institution | Directory Open Access Journal |
| issn | 2590-0374 |
| language | English |
| last_indexed | 2024-03-13T08:23:31Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj.art-32a74352fbb74ed6b95aa501059d363d2023-05-31T04:47:34ZengElsevierResults in Applied Mathematics2590-03742023-05-0118100377Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theoryTaghareed A. Faree0Satish K. Panchal1Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004 MS, India; Department of Mathematics, Faculty of Applied Sciences, Taiz University, Yemen; Corresponding author at: Department of Mathematics, Faculty of Applied Sciences, Taiz University, Yemen.Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004 MS, IndiaThis article aims to investigate the existence and uniqueness of solutions to impulsive fractional differential equations. Firstly, we show a formula for solutions to an impulsive fractional problem involving a generalization of the classical Caputo derivative with a nonlocal condition in a Banach space. Secondly, some sufficient conditions for the existence of solutions are established by applying fixed point methods. Furthermore, we reconsider some of operators for deriving the existence and uniqueness of the solution to impulsive fractional problem using topological degree techniques. The results support this in one example.http://www.sciencedirect.com/science/article/pii/S2590037423000237Fractional derivatives and integralsTopological properties of mappingsImpulsive fractional differential equations |
| spellingShingle | Taghareed A. Faree Satish K. Panchal Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory Results in Applied Mathematics Fractional derivatives and integrals Topological properties of mappings Impulsive fractional differential equations |
| title | Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory |
| title_full | Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory |
| title_fullStr | Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory |
| title_full_unstemmed | Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory |
| title_short | Existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory |
| title_sort | existence of solution for impulsive fractional differential equations with nonlocal conditions by topological degree theory |
| topic | Fractional derivatives and integrals Topological properties of mappings Impulsive fractional differential equations |
| url | http://www.sciencedirect.com/science/article/pii/S2590037423000237 |
| work_keys_str_mv | AT taghareedafaree existenceofsolutionforimpulsivefractionaldifferentialequationswithnonlocalconditionsbytopologicaldegreetheory AT satishkpanchal existenceofsolutionforimpulsivefractionaldifferentialequationswithnonlocalconditionsbytopologicaldegreetheory |