Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions

Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions

In this paper, we investigate a new class of boundary value problems involving fractional differential equations with mixed nonlinearities, and nonlocal multi-point and Riemann−Stieltjes integral-multi-strip boundary conditions. Based on the standard tools of the fixed point theory, we obt...

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Main Authors: Bashir Ahmad, Ahmed Alsaedi, Sara Salem, Sotiris K. Ntouyas
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Fractal and Fractional
Subjects:
fractional differential equation
mixed nonlinearities
multi-point
integral boundary conditions
existence
fixed point
Online Access:https://www.mdpi.com/2504-3110/3/2/34
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spelling doaj-2209dd19c72446f9bc312e411b52b30d2021-04-02T08:53:39ZengMDPI AGFractal and Fractional2504-31102019-06-01323410.3390/fractalfract3020034fractalfract3020034Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip ConditionsBashir Ahmad0Ahmed Alsaedi1Sara Salem2Sotiris 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 investigate a new class of boundary value problems involving fractional differential equations with mixed nonlinearities, and nonlocal multi-point and Riemann−Stieltjes integral-multi-strip boundary conditions. Based on the standard tools of the fixed point theory, we obtain some existence and uniqueness results for the problem at hand, which are well illustrated with the aid of examples. Our results are not only in the given configuration but also yield several new results as special cases. Some variants of the given problem are also discussed.https://www.mdpi.com/2504-3110/3/2/34fractional differential equationmixed nonlinearitiesmulti-pointintegral boundary conditionsexistencefixed point
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Ahmed Alsaedi
Sara Salem
Sotiris K. Ntouyas
spellingShingle Bashir Ahmad
Ahmed Alsaedi
Sara Salem
Sotiris K. Ntouyas
Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions
Fractal and Fractional
fractional differential equation
mixed nonlinearities
multi-point
integral boundary conditions
existence
fixed point
author_facet Bashir Ahmad
Ahmed Alsaedi
Sara Salem
Sotiris K. Ntouyas
author_sort Bashir Ahmad
title Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions
title_short Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions
title_full Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions
title_fullStr Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions
title_full_unstemmed Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions
title_sort fractional differential equation involving mixed nonlinearities with nonlocal multi-point and riemann-stieltjes integral-multi-strip conditions
publisher MDPI AG
series Fractal and Fractional
issn 2504-3110
publishDate 2019-06-01
description In this paper, we investigate a new class of boundary value problems involving fractional differential equations with mixed nonlinearities, and nonlocal multi-point and Riemann−Stieltjes integral-multi-strip boundary conditions. Based on the standard tools of the fixed point theory, we obtain some existence and uniqueness results for the problem at hand, which are well illustrated with the aid of examples. Our results are not only in the given configuration but also yield several new results as special cases. Some variants of the given problem are also discussed.
topic fractional differential equation
mixed nonlinearities
multi-point
integral boundary conditions
existence
fixed point
url https://www.mdpi.com/2504-3110/3/2/34
work_keys_str_mv AT bashirahmad fractionaldifferentialequationinvolvingmixednonlinearitieswithnonlocalmultipointandriemannstieltjesintegralmultistripconditions
AT ahmedalsaedi fractionaldifferentialequationinvolvingmixednonlinearitieswithnonlocalmultipointandriemannstieltjesintegralmultistripconditions
AT sarasalem fractionaldifferentialequationinvolvingmixednonlinearitieswithnonlocalmultipointandriemannstieltjesintegralmultistripconditions
AT sotiriskntouyas fractionaldifferentialequationinvolvingmixednonlinearitieswithnonlocalmultipointandriemannstieltjesintegralmultistripconditions
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