Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses
This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contractio...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/5592010 |
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| _version_ | 1832554997552775168 |
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| author | Abdelkrim Salim Mouffak Benchohra Jamal Eddine Lazreg Gaston N’Guérékata |
| author_facet | Abdelkrim Salim Mouffak Benchohra Jamal Eddine Lazreg Gaston N’Guérékata |
| author_sort | Abdelkrim Salim |
| collection | DOAJ |
| description | This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed-point theorems. |
| format | Article |
| id | doaj-art-5f6f25ab934e4772a49702d15e4a550f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5f6f25ab934e4772a49702d15e4a550f2025-02-03T05:49:49ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/55920105592010Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with ImpulsesAbdelkrim Salim0Mouffak Benchohra1Jamal Eddine Lazreg2Gaston N’Guérékata3Laboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes, P.O. Box 89 Sidi Bel Abbes 22000, AlgeriaLaboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes, P.O. Box 89 Sidi Bel Abbes 22000, AlgeriaLaboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes, P.O. Box 89 Sidi Bel Abbes 22000, AlgeriaNEERLab, Department of Mathematics, Morgan State University, 1700 E. Cold, Spring Lane, Baltimore M.D. 21252, USAThis article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed-point theorems.http://dx.doi.org/10.1155/2021/5592010 |
| spellingShingle | Abdelkrim Salim Mouffak Benchohra Jamal Eddine Lazreg Gaston N’Guérékata Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses Abstract and Applied Analysis |
| title | Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses |
| title_full | Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses |
| title_fullStr | Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses |
| title_full_unstemmed | Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses |
| title_short | Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses |
| title_sort | boundary value problem for nonlinear implicit generalized hilfer type fractional differential equations with impulses |
| url | http://dx.doi.org/10.1155/2021/5592010 |
| work_keys_str_mv | AT abdelkrimsalim boundaryvalueproblemfornonlinearimplicitgeneralizedhilfertypefractionaldifferentialequationswithimpulses AT mouffakbenchohra boundaryvalueproblemfornonlinearimplicitgeneralizedhilfertypefractionaldifferentialequationswithimpulses AT jamaleddinelazreg boundaryvalueproblemfornonlinearimplicitgeneralizedhilfertypefractionaldifferentialequationswithimpulses AT gastonnguerekata boundaryvalueproblemfornonlinearimplicitgeneralizedhilfertypefractionaldifferentialequationswithimpulses |