Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions

Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions

In this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.

Bibliographic Details
Main Authors: Dhakne Machindra B., Bora Poonam S.
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Nonautonomous Dynamical Systems
Subjects:
sadovskii’s fixed point theorem
mixed functional integrodifferential equation
nonlocal condition
Online Access:https://doi.org/10.1515/msds-2017-0001
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spelling doaj-0c1e46b7cb2c4a8c8b09a6551a7dceb92021-09-06T19:20:24ZengDe GruyterNonautonomous Dynamical Systems2353-06262017-04-014111510.1515/msds-2017-0001msds-2017-0001Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditionsDhakne Machindra B.0Bora Poonam S.1Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, IndiaDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, IndiaIn this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.https://doi.org/10.1515/msds-2017-0001sadovskii’s fixed point theoremmixed functional integrodifferential equationnonlocal condition
collection DOAJ
language English
format Article
sources DOAJ
author Dhakne Machindra B.
Bora Poonam S.
spellingShingle Dhakne Machindra B.
Bora Poonam S.
Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
Nonautonomous Dynamical Systems
sadovskii’s fixed point theorem
mixed functional integrodifferential equation
nonlocal condition
author_facet Dhakne Machindra B.
Bora Poonam S.
author_sort Dhakne Machindra B.
title Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
title_short Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
title_full Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
title_fullStr Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
title_full_unstemmed Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
title_sort existence of solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal conditions
publisher De Gruyter
series Nonautonomous Dynamical Systems
issn 2353-0626
publishDate 2017-04-01
description In this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.
topic sadovskii’s fixed point theorem
mixed functional integrodifferential equation
nonlocal condition
url https://doi.org/10.1515/msds-2017-0001
work_keys_str_mv AT dhaknemachindrab existenceofsolutionsofabstractnonlinearmixedfunctionalintegrodifferentialequationwithnonlocalconditions
AT borapoonams existenceofsolutionsofabstractnonlinearmixedfunctionalintegrodifferentialequationwithnonlocalconditions
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