A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations
We discuss the existence criteria and Ulam–Hyers stability for solutions to a nonlocal integral boundary value problem of nonlinear coupled Hilfer–Hadamard-type fractional Langevin equations. Our results rely on the Leray–Schauder alternative and Banach’s fixed point theorem. Examples are included t...
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| Language: | English |
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MDPI AG
2025-04-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/4/229 |
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| author | Bashir Ahmad Hafed A. Saeed Sotiris K. Ntouyas |
| author_facet | Bashir Ahmad Hafed A. Saeed Sotiris K. Ntouyas |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | We discuss the existence criteria and Ulam–Hyers stability for solutions to a nonlocal integral boundary value problem of nonlinear coupled Hilfer–Hadamard-type fractional Langevin equations. Our results rely on the Leray–Schauder alternative and Banach’s fixed point theorem. Examples are included to illustrate the results obtained. |
| format | Article |
| id | doaj-art-90dbb9d700ce4dacb0bbf8e11f898aae |
| institution | OA Journals |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-90dbb9d700ce4dacb0bbf8e11f898aae2025-08-20T02:18:11ZengMDPI AGFractal and Fractional2504-31102025-04-019422910.3390/fractalfract9040229A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin EquationsBashir Ahmad0Hafed A. Saeed1Sotiris K. Ntouyas2Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceWe discuss the existence criteria and Ulam–Hyers stability for solutions to a nonlocal integral boundary value problem of nonlinear coupled Hilfer–Hadamard-type fractional Langevin equations. Our results rely on the Leray–Schauder alternative and Banach’s fixed point theorem. Examples are included to illustrate the results obtained.https://www.mdpi.com/2504-3110/9/4/229Hilfer–Hadamard fractional derivativeLangevin equationssystemnonlocal integral boundary conditionsexistencefixed point |
| spellingShingle | Bashir Ahmad Hafed A. Saeed Sotiris K. Ntouyas A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations Fractal and Fractional Hilfer–Hadamard fractional derivative Langevin equations system nonlocal integral boundary conditions existence fixed point |
| title | A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations |
| title_full | A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations |
| title_fullStr | A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations |
| title_full_unstemmed | A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations |
| title_short | A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations |
| title_sort | study of a nonlocal coupled integral boundary value problem for nonlinear hilfer hadamard type fractional langevin equations |
| topic | Hilfer–Hadamard fractional derivative Langevin equations system nonlocal integral boundary conditions existence fixed point |
| url | https://www.mdpi.com/2504-3110/9/4/229 |
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