A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations
This paper considers a class of fractional impulsive wave equations and improves a previous results. In fact, this paper adopts a new topological approach to prove the existence of classical solutions with a complex arguments caused by impulsive perturbations. To the best of our knowledge, there is...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/11/12/721 |
| _version_ | 1797461515840782336 |
|---|---|
| author | Svetlin G. Georgiev Keltoum Bouhali Khaled Zennir |
| author_facet | Svetlin G. Georgiev Keltoum Bouhali Khaled Zennir |
| author_sort | Svetlin G. Georgiev |
| collection | DOAJ |
| description | This paper considers a class of fractional impulsive wave equations and improves a previous results. In fact, this paper adopts a new topological approach to prove the existence of classical solutions with a complex arguments caused by impulsive perturbations. To the best of our knowledge, there is a severe lack of results related to such impulsive equations. |
| first_indexed | 2024-03-09T17:20:31Z |
| format | Article |
| id | doaj.art-ca5a8ffe303a4c5bbcd4ed27e464925e |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T17:20:31Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-ca5a8ffe303a4c5bbcd4ed27e464925e2023-11-24T13:16:03ZengMDPI AGAxioms2075-16802022-12-01111272110.3390/axioms11120721A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave EquationsSvetlin G. Georgiev0Keltoum Bouhali1Khaled Zennir2Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, 1504 Sofia, BulgariaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi ArabiaThis paper considers a class of fractional impulsive wave equations and improves a previous results. In fact, this paper adopts a new topological approach to prove the existence of classical solutions with a complex arguments caused by impulsive perturbations. To the best of our knowledge, there is a severe lack of results related to such impulsive equations.https://www.mdpi.com/2075-1680/11/12/721fractional impulsive wave equationsclassical solutionsfixed pointconesum of operators |
| spellingShingle | Svetlin G. Georgiev Keltoum Bouhali Khaled Zennir A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations Axioms fractional impulsive wave equations classical solutions fixed point cone sum of operators |
| title | A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations |
| title_full | A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations |
| title_fullStr | A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations |
| title_full_unstemmed | A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations |
| title_short | A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations |
| title_sort | new topological approach to target the existence of solutions for nonlinear fractional impulsive wave equations |
| topic | fractional impulsive wave equations classical solutions fixed point cone sum of operators |
| url | https://www.mdpi.com/2075-1680/11/12/721 |
| work_keys_str_mv | AT svetlinggeorgiev anewtopologicalapproachtotargettheexistenceofsolutionsfornonlinearfractionalimpulsivewaveequations AT keltoumbouhali anewtopologicalapproachtotargettheexistenceofsolutionsfornonlinearfractionalimpulsivewaveequations AT khaledzennir anewtopologicalapproachtotargettheexistenceofsolutionsfornonlinearfractionalimpulsivewaveequations AT svetlinggeorgiev newtopologicalapproachtotargettheexistenceofsolutionsfornonlinearfractionalimpulsivewaveequations AT keltoumbouhali newtopologicalapproachtotargettheexistenceofsolutionsfornonlinearfractionalimpulsivewaveequations AT khaledzennir newtopologicalapproachtotargettheexistenceofsolutionsfornonlinearfractionalimpulsivewaveequations |