A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions
In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. The existence and uniqueness results are obtained by making u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2441628 |
| _version_ | 1798020895907774464 |
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| author | Hamid Lmou Khalid Hilal Ahmed Kajouni |
| author_facet | Hamid Lmou Khalid Hilal Ahmed Kajouni |
| author_sort | Hamid Lmou |
| collection | DOAJ |
| description | In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. The existence and uniqueness results are obtained by making use of the Krasnoselskii fixed-point theorem and Banach contraction principle, and for the inclusion version, we use the Martelli fixed-point theorem to get the existence result. In the end, we are giving an example to illustrate our results. |
| first_indexed | 2024-04-11T17:05:07Z |
| format | Article |
| id | doaj.art-b5945db4b1394476afef761827152402 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-11T17:05:07Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-b5945db4b1394476afef7618271524022022-12-22T04:13:04ZengHindawi LimitedJournal of Mathematics2314-47852022-01-01202210.1155/2022/2441628A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and InclusionsHamid Lmou0Khalid Hilal1Ahmed Kajouni2Laboratory of Applied Mathematics and Scientific ComputingLaboratory of Applied Mathematics and Scientific ComputingLaboratory of Applied Mathematics and Scientific ComputingIn this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. The existence and uniqueness results are obtained by making use of the Krasnoselskii fixed-point theorem and Banach contraction principle, and for the inclusion version, we use the Martelli fixed-point theorem to get the existence result. In the end, we are giving an example to illustrate our results.http://dx.doi.org/10.1155/2022/2441628 |
| spellingShingle | Hamid Lmou Khalid Hilal Ahmed Kajouni A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions Journal of Mathematics |
| title | A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions |
| title_full | A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions |
| title_fullStr | A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions |
| title_full_unstemmed | A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions |
| title_short | A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions |
| title_sort | new result for ψ hilfer fractional pantograph type langevin equation and inclusions |
| url | http://dx.doi.org/10.1155/2022/2441628 |
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