On more general boundary value problems involving sequential fractional derivatives

On more general boundary value problems involving sequential fractional derivatives

Abstract We investigate the existence of solutions for new boundary value problems of Caputo-type sequential fractional differential equations and inclusions supplemented with nonlocal integro-multipoint boundary conditions. We apply the modern techniques of functional analysis to obtain the main re...

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Bibliographic Details
Main Authors: Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Wafa Shammakh
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Advances in Difference Equations
Subjects:
Sequential fractional derivative
Inclusions
Nonlocal
Integro-multipoint boundary conditions
Existence
Online Access:http://link.springer.com/article/10.1186/s13662-019-2224-z
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spelling doaj-89aaee70f0d44f0bae1242f69e97c1ff2020-11-25T03:47:11ZengSpringerOpenAdvances in Difference Equations1687-18472019-07-012019112510.1186/s13662-019-2224-zOn more general boundary value problems involving sequential fractional derivativesBashir Ahmad0Ahmed Alsaedi1Sotiris K. Ntouyas2Wafa Shammakh3Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityAbstract We investigate the existence of solutions for new boundary value problems of Caputo-type sequential fractional differential equations and inclusions supplemented with nonlocal integro-multipoint boundary conditions. We apply the modern techniques of functional analysis to obtain the main results. We emphasize that the results presented in this paper are new and specialize to some known theorems with an appropriate choice of the parameters involved in the problems at hand.http://link.springer.com/article/10.1186/s13662-019-2224-zSequential fractional derivativeInclusionsNonlocalIntegro-multipoint boundary conditionsExistence
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Ahmed Alsaedi
Sotiris K. Ntouyas
Wafa Shammakh
spellingShingle Bashir Ahmad
Ahmed Alsaedi
Sotiris K. Ntouyas
Wafa Shammakh
On more general boundary value problems involving sequential fractional derivatives
Advances in Difference Equations
Sequential fractional derivative
Inclusions
Nonlocal
Integro-multipoint boundary conditions
Existence
author_facet Bashir Ahmad
Ahmed Alsaedi
Sotiris K. Ntouyas
Wafa Shammakh
author_sort Bashir Ahmad
title On more general boundary value problems involving sequential fractional derivatives
title_short On more general boundary value problems involving sequential fractional derivatives
title_full On more general boundary value problems involving sequential fractional derivatives
title_fullStr On more general boundary value problems involving sequential fractional derivatives
title_full_unstemmed On more general boundary value problems involving sequential fractional derivatives
title_sort on more general boundary value problems involving sequential fractional derivatives
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-07-01
description Abstract We investigate the existence of solutions for new boundary value problems of Caputo-type sequential fractional differential equations and inclusions supplemented with nonlocal integro-multipoint boundary conditions. We apply the modern techniques of functional analysis to obtain the main results. We emphasize that the results presented in this paper are new and specialize to some known theorems with an appropriate choice of the parameters involved in the problems at hand.
topic Sequential fractional derivative
Inclusions
Nonlocal
Integro-multipoint boundary conditions
Existence
url http://link.springer.com/article/10.1186/s13662-019-2224-z
work_keys_str_mv AT bashirahmad onmoregeneralboundaryvalueproblemsinvolvingsequentialfractionalderivatives
AT ahmedalsaedi onmoregeneralboundaryvalueproblemsinvolvingsequentialfractionalderivatives
AT sotiriskntouyas onmoregeneralboundaryvalueproblemsinvolvingsequentialfractionalderivatives
AT wafashammakh onmoregeneralboundaryvalueproblemsinvolvingsequentialfractionalderivatives
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