A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain
In this paper, we introduce and investigate a new class of Hadamard fractional differential equation with integral-multipoint boundary conditions on a positive semiinfinite domain. We use the contraction mapping principle and the fixed point index theorem, respectively, to prove the uniqueness and...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-05-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/42121 |
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| author | Nemat Nyamoradi Bashir Ahmad Sotiris K. Ntouyas |
| author_facet | Nemat Nyamoradi Bashir Ahmad Sotiris K. Ntouyas |
| author_sort | Nemat Nyamoradi |
| collection | DOAJ |
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In this paper, we introduce and investigate a new class of Hadamard fractional differential equation with integral-multipoint boundary conditions on a positive semiinfinite domain. We use the contraction mapping principle and the fixed point index theorem, respectively, to prove the uniqueness and the existence of at least two positive solutions to the given problem. Our results are new and enrich the literature on Hadamard-type fractional differential equations on unbounded domains. Some examples illustrating the main results are presented.
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| format | Article |
| id | doaj-art-e601241edfd24aa0a2db6978165d0faf |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-e601241edfd24aa0a2db6978165d0faf2025-08-20T02:36:59ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-05-013010.15388/namc.2025.30.42121A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domainNemat Nyamoradi0Bashir Ahmad1https://orcid.org/0000-0001-5350-2977Sotiris K. Ntouyas2https://orcid.org/0000-0002-7695-2118Razi UniversityKing Abdulaziz UniversityUniversity of Ioannina In this paper, we introduce and investigate a new class of Hadamard fractional differential equation with integral-multipoint boundary conditions on a positive semiinfinite domain. We use the contraction mapping principle and the fixed point index theorem, respectively, to prove the uniqueness and the existence of at least two positive solutions to the given problem. Our results are new and enrich the literature on Hadamard-type fractional differential equations on unbounded domains. Some examples illustrating the main results are presented. https://www.journals.vu.lt/nonlinear-analysis/article/view/42121Hadamard fractional derivativecontraction mapping principlefixed point index theorempositive solutionunbounded domain |
| spellingShingle | Nemat Nyamoradi Bashir Ahmad Sotiris K. Ntouyas A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain Nonlinear Analysis Hadamard fractional derivative contraction mapping principle fixed point index theorem positive solution unbounded domain |
| title | A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain |
| title_full | A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain |
| title_fullStr | A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain |
| title_full_unstemmed | A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain |
| title_short | A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain |
| title_sort | new class of integral multipoint boundary value problems for nonlinear hadamard fractional differential equations on a semiinfinite domain |
| topic | Hadamard fractional derivative contraction mapping principle fixed point index theorem positive solution unbounded domain |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/42121 |
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