Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions
Abstract The goal of this paper is to investigate existence of solutions for the multiterm nonlinear fractional q-integro-differential Dqαcu(t) ${}^{c}D_{q}^{\alpha } u(t)$ in two modes equations and inclusions of order α∈(n−1,n] $\alpha\in(n -1, n]$, with non-separated boundary and initial boundary...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2224-2 |
| _version_ | 1818388032517046272 |
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| author | Mohammad Esmael Samei Ghorban Khalilzadeh Ranjbar Vahid Hedayati |
| author_facet | Mohammad Esmael Samei Ghorban Khalilzadeh Ranjbar Vahid Hedayati |
| author_sort | Mohammad Esmael Samei |
| collection | DOAJ |
| description | Abstract The goal of this paper is to investigate existence of solutions for the multiterm nonlinear fractional q-integro-differential Dqαcu(t) ${}^{c}D_{q}^{\alpha } u(t)$ in two modes equations and inclusions of order α∈(n−1,n] $\alpha\in(n -1, n]$, with non-separated boundary and initial boundary conditions where the natural number n is more than or equal to five. We consider a Carathéodory multivalued map and use Leray–Schauder and Covitz–Nadler famous fixed point theorems for finding solutions of the inclusion problems. Besides, we present results whenever the multifunctions are convex and nonconvex. Lastly, we give some examples illustrating the primary effects. |
| first_indexed | 2024-12-14T04:19:23Z |
| format | Article |
| id | doaj.art-ee4b8162091347df948f8efb1a2e0167 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T04:19:23Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-ee4b8162091347df948f8efb1a2e01672022-12-21T23:17:25ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-10-012019114810.1186/s13660-019-2224-2Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditionsMohammad Esmael Samei0Ghorban Khalilzadeh Ranjbar1Vahid Hedayati2Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina UniversityDepartment of Mathematics, Faculty of Basic Science, Bu-Ali Sina UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityAbstract The goal of this paper is to investigate existence of solutions for the multiterm nonlinear fractional q-integro-differential Dqαcu(t) ${}^{c}D_{q}^{\alpha } u(t)$ in two modes equations and inclusions of order α∈(n−1,n] $\alpha\in(n -1, n]$, with non-separated boundary and initial boundary conditions where the natural number n is more than or equal to five. We consider a Carathéodory multivalued map and use Leray–Schauder and Covitz–Nadler famous fixed point theorems for finding solutions of the inclusion problems. Besides, we present results whenever the multifunctions are convex and nonconvex. Lastly, we give some examples illustrating the primary effects.http://link.springer.com/article/10.1186/s13660-019-2224-2Positive solutionsFractional q-differential inclusionsFractional q-differential equationsCaputo fractional q-derivativeRiemann–Liouville fractional q-integral |
| spellingShingle | Mohammad Esmael Samei Ghorban Khalilzadeh Ranjbar Vahid Hedayati Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions Journal of Inequalities and Applications Positive solutions Fractional q-differential inclusions Fractional q-differential equations Caputo fractional q-derivative Riemann–Liouville fractional q-integral |
| title | Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions |
| title_full | Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions |
| title_fullStr | Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions |
| title_full_unstemmed | Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions |
| title_short | Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions |
| title_sort | existence of solutions for equations and inclusions of multiterm fractional q integro differential with nonseparated and initial boundary conditions |
| topic | Positive solutions Fractional q-differential inclusions Fractional q-differential equations Caputo fractional q-derivative Riemann–Liouville fractional q-integral |
| url | http://link.springer.com/article/10.1186/s13660-019-2224-2 |
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