On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition

Abstract It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singular fractional differential equation under some integral boundary conditions. We pro...

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Main Authors: Mandana Talaee, Mehdi Shabibi, Alireza Gilani, Shahram Rezapour
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-020-2517-2
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author Mandana Talaee
Mehdi Shabibi
Alireza Gilani
Shahram Rezapour
author_facet Mandana Talaee
Mehdi Shabibi
Alireza Gilani
Shahram Rezapour
author_sort Mandana Talaee
collection DOAJ
description Abstract It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singular fractional differential equation under some integral boundary conditions. We provide an example to illustrate our main result.
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spelling doaj.art-1227241210c84927bad3ec6b218371332022-12-21T23:44:30ZengSpringerOpenAdvances in Difference Equations1687-18472020-01-012020111610.1186/s13662-020-2517-2On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary conditionMandana Talaee0Mehdi Shabibi1Alireza Gilani2Shahram Rezapour3Department of Mathematics, South Tehran Branch, Islamic Azad UniversityDepartment of Mathematics, Mehran Branch, Islamic Azad UniversityDepartment of Mathematics, South Tehran Branch, Islamic Azad UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityAbstract It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singular fractional differential equation under some integral boundary conditions. We provide an example to illustrate our main result.https://doi.org/10.1186/s13662-020-2517-2Multi-singularityPointwise defined fractional equationThe Caputo derivation
spellingShingle Mandana Talaee
Mehdi Shabibi
Alireza Gilani
Shahram Rezapour
On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
Advances in Difference Equations
Multi-singularity
Pointwise defined fractional equation
The Caputo derivation
title On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
title_full On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
title_fullStr On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
title_full_unstemmed On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
title_short On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
title_sort on the existence of solutions for a pointwise defined multi singular integro differential equation with integral boundary condition
topic Multi-singularity
Pointwise defined fractional equation
The Caputo derivation
url https://doi.org/10.1186/s13662-020-2517-2
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AT alirezagilani ontheexistenceofsolutionsforapointwisedefinedmultisingularintegrodifferentialequationwithintegralboundarycondition
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