On the new fractional configurations of integro-differential Langevin boundary value problems

On the new fractional configurations of integro-differential Langevin boundary value problems

In this paper, we present the existence criteria for the solutions of boundary value problems involving generalized fractional integro-Langevin equation and inclusion supplemented with nonlocal fractional boundary conditions. The main idea of the current research is to combine the integro-differenti...

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Main Authors: Shahram Rezapour, Bashir Ahmad, Sina Etemad
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Alexandria Engineering Journal
Subjects:
Fractional generalized integro-Langevin equation
Inclusion configuration
Caputo derivative
Existence
Fixed point
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016821002271
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spelling doaj-ca919a0318d348db867c6cae251a06182021-06-01T04:21:38ZengElsevierAlexandria Engineering Journal1110-01682021-10-0160548654873On the new fractional configurations of integro-differential Langevin boundary value problemsShahram Rezapour0Bashir Ahmad1Sina Etemad2Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, TaiwanNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia; Corresponding author.Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranIn this paper, we present the existence criteria for the solutions of boundary value problems involving generalized fractional integro-Langevin equation and inclusion supplemented with nonlocal fractional boundary conditions. The main idea of the current research is to combine the integro-differential and Langevin structures together. The main tools of our study include certain inequalities and well-known fixed point theorems. Numerical examples are constructed to demonstrate the application of the obtained results.http://www.sciencedirect.com/science/article/pii/S1110016821002271Fractional generalized integro-Langevin equationInclusion configurationCaputo derivativeExistenceFixed point
collection DOAJ
language English
format Article
sources DOAJ
author Shahram Rezapour
Bashir Ahmad
Sina Etemad
spellingShingle Shahram Rezapour
Bashir Ahmad
Sina Etemad
On the new fractional configurations of integro-differential Langevin boundary value problems
Alexandria Engineering Journal
Fractional generalized integro-Langevin equation
Inclusion configuration
Caputo derivative
Existence
Fixed point
author_facet Shahram Rezapour
Bashir Ahmad
Sina Etemad
author_sort Shahram Rezapour
title On the new fractional configurations of integro-differential Langevin boundary value problems
title_short On the new fractional configurations of integro-differential Langevin boundary value problems
title_full On the new fractional configurations of integro-differential Langevin boundary value problems
title_fullStr On the new fractional configurations of integro-differential Langevin boundary value problems
title_full_unstemmed On the new fractional configurations of integro-differential Langevin boundary value problems
title_sort on the new fractional configurations of integro-differential langevin boundary value problems
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2021-10-01
description In this paper, we present the existence criteria for the solutions of boundary value problems involving generalized fractional integro-Langevin equation and inclusion supplemented with nonlocal fractional boundary conditions. The main idea of the current research is to combine the integro-differential and Langevin structures together. The main tools of our study include certain inequalities and well-known fixed point theorems. Numerical examples are constructed to demonstrate the application of the obtained results.
topic Fractional generalized integro-Langevin equation
Inclusion configuration
Caputo derivative
Existence
Fixed point
url http://www.sciencedirect.com/science/article/pii/S1110016821002271
work_keys_str_mv AT shahramrezapour onthenewfractionalconfigurationsofintegrodifferentiallangevinboundaryvalueproblems
AT bashirahmad onthenewfractionalconfigurationsofintegrodifferentiallangevinboundaryvalueproblems
AT sinaetemad onthenewfractionalconfigurationsofintegrodifferentiallangevinboundaryvalueproblems
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