Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data

Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data

In this paper, we study the existence of solutions for a new nonlocal boundary value problem of integro-differential equations involving mixed left and right Caputo and Riemann−Liouville fractional derivatives and Riemann−Liouville fractional integrals of different orders. Our re...

Full description

Bibliographic Details
Main Authors: Bashir Ahmad, Abrar Broom, Ahmed Alsaedi, Sotiris K. Ntouyas
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
caputo-type fractional derivative
fractional integral
existence
fixed point
Online Access:https://www.mdpi.com/2227-7390/8/3/336
id doaj-00d840624571411996850b9d611a3db0
record_format Article
spelling doaj-00d840624571411996850b9d611a3db02020-11-25T01:15:20ZengMDPI AGMathematics2227-73902020-03-018333610.3390/math8030336math8030336Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary DataBashir Ahmad0Abrar Broom1Ahmed Alsaedi2Sotiris K. Ntouyas3Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we study the existence of solutions for a new nonlocal boundary value problem of integro-differential equations involving mixed left and right Caputo and Riemann−Liouville fractional derivatives and Riemann−Liouville fractional integrals of different orders. Our results rely on the standard tools of functional analysis. Examples are constructed to demonstrate the application of the derived results.https://www.mdpi.com/2227-7390/8/3/336caputo-type fractional derivativefractional integralexistencefixed point
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Abrar Broom
Ahmed Alsaedi
Sotiris K. Ntouyas
spellingShingle Bashir Ahmad
Abrar Broom
Ahmed Alsaedi
Sotiris K. Ntouyas
Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data
Mathematics
caputo-type fractional derivative
fractional integral
existence
fixed point
author_facet Bashir Ahmad
Abrar Broom
Ahmed Alsaedi
Sotiris K. Ntouyas
author_sort Bashir Ahmad
title Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data
title_short Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data
title_full Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data
title_fullStr Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data
title_full_unstemmed Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data
title_sort nonlinear integro-differential equations involving mixed right and left fractional derivatives and integrals with nonlocal boundary data
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-03-01
description In this paper, we study the existence of solutions for a new nonlocal boundary value problem of integro-differential equations involving mixed left and right Caputo and Riemann−Liouville fractional derivatives and Riemann−Liouville fractional integrals of different orders. Our results rely on the standard tools of functional analysis. Examples are constructed to demonstrate the application of the derived results.
topic caputo-type fractional derivative
fractional integral
existence
fixed point
url https://www.mdpi.com/2227-7390/8/3/336
work_keys_str_mv AT bashirahmad nonlinearintegrodifferentialequationsinvolvingmixedrightandleftfractionalderivativesandintegralswithnonlocalboundarydata
AT abrarbroom nonlinearintegrodifferentialequationsinvolvingmixedrightandleftfractionalderivativesandintegralswithnonlocalboundarydata
AT ahmedalsaedi nonlinearintegrodifferentialequationsinvolvingmixedrightandleftfractionalderivativesandintegralswithnonlocalboundarydata
AT sotiriskntouyas nonlinearintegrodifferentialequationsinvolvingmixedrightandleftfractionalderivativesandintegralswithnonlocalboundarydata
_version_ 1725153824976404480

Similar Items