On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals
In the present research, we investigate the existence and uniqueness of solutions for a system of (k; χ)-Hilfer fractional differential equations, subject to coupled nonlocal boundary conditions, which contain various fractional derivatives and Riemann–Stieltjes integrals. The uniqueness result rel...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-05-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/34531 |
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| _version_ | 1849703629072629760 |
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| author | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Ayub Samadi |
| collection | DOAJ |
| description |
In the present research, we investigate the existence and uniqueness of solutions for a system of (k; χ)-Hilfer fractional differential equations, subject to coupled nonlocal boundary conditions, which contain various fractional derivatives and Riemann–Stieltjes integrals. The uniqueness result relies on the Banach contraction mapping principle, while the existence results depend on the Leray–Schauder alternative and Krasnosel’skiĭ fixed point theorem. Examples are also constructed to illustrate the obtained results.
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| format | Article |
| id | doaj-art-0b45d6009c3e42718bef0888cf2d83f5 |
| institution | DOAJ |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-0b45d6009c3e42718bef0888cf2d83f52025-08-20T03:17:13ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-05-0129310.15388/namc.2024.29.34531On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integralsAyub Samadi0https://orcid.org/0000-0002-9609-9345Sotiris K. Ntouyas1https://orcid.org/0000-0002-7695-2118Jessada Tariboon2https://orcid.org/0000-0001-8185-3539Islamic Azad University Miyaneh BranchUniversity of IoanninaKing Mongkut’s University of Technology North Bangkok In the present research, we investigate the existence and uniqueness of solutions for a system of (k; χ)-Hilfer fractional differential equations, subject to coupled nonlocal boundary conditions, which contain various fractional derivatives and Riemann–Stieltjes integrals. The uniqueness result relies on the Banach contraction mapping principle, while the existence results depend on the Leray–Schauder alternative and Krasnosel’skiĭ fixed point theorem. Examples are also constructed to illustrate the obtained results. https://www.journals.vu.lt/nonlinear-analysis/article/view/34531systems of Hilfer fractional differential equationsfractional integralscoupled nonlocal boundary conditionsexistence of solutionsRiemann–Stieltjes integrals |
| spellingShingle | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals Nonlinear Analysis systems of Hilfer fractional differential equations fractional integrals coupled nonlocal boundary conditions existence of solutions Riemann–Stieltjes integrals |
| title | On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals |
| title_full | On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals |
| title_fullStr | On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals |
| title_full_unstemmed | On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals |
| title_short | On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals |
| title_sort | on a k chi hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and riemann stieltjes integrals |
| topic | systems of Hilfer fractional differential equations fractional integrals coupled nonlocal boundary conditions existence of solutions Riemann–Stieltjes integrals |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/34531 |
| work_keys_str_mv | AT ayubsamadi onakchihilferfractionalsystemwithcouplednonlocalboundaryconditionsincludingvariousfractionalderivativesandriemannstieltjesintegrals AT sotiriskntouyas onakchihilferfractionalsystemwithcouplednonlocalboundaryconditionsincludingvariousfractionalderivativesandriemannstieltjesintegrals AT jessadatariboon onakchihilferfractionalsystemwithcouplednonlocalboundaryconditionsincludingvariousfractionalderivativesandriemannstieltjesintegrals |