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

Machindra B. Dhakne, and Poonam S. Bora. "Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions." Nonautonomous Dynamical Systems 4.1 (2017): 1-15. <http://eudml.org/doc/288139>.

@article{MachindraB2017,
abstract = {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.},
author = {Machindra B. Dhakne, Poonam S. Bora},
journal = {Nonautonomous Dynamical Systems},
keywords = {Sadovskii’s fixed point theorem; mixed functional integrodifferential equation; nonlocal condition; Hausdorff's measure of noncompactness; Darbo-Sadovskii fixed point theorem; Leray-Schauder alternative; nonlinear Volterra-Fredholm functional integro-differential equations},
language = {eng},
number = {1},
pages = {1-15},
title = {Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions},
url = {http://eudml.org/doc/288139},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Machindra B. Dhakne
AU - Poonam S. Bora
TI - Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
JO - Nonautonomous Dynamical Systems
PY - 2017
VL - 4
IS - 1
SP - 1
EP - 15
AB - 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.
LA - eng
KW - Sadovskii’s fixed point theorem; mixed functional integrodifferential equation; nonlocal condition; Hausdorff's measure of noncompactness; Darbo-Sadovskii fixed point theorem; Leray-Schauder alternative; nonlinear Volterra-Fredholm functional integro-differential equations
UR - http://eudml.org/doc/288139
ER -