On existence results and qualitative properties of mild solution of semilinear mixed Volterra–Fredholm functional integrodifferential equations in Banach spaces

2013 ◽  
Vol 219 (22) ◽  
pp. 10806-10816 ◽  
Author(s):  
Kishor D. Kucche ◽  
M.B. Dhakne
Keyword(s):  
Banach Spaces ◽  
Mild Solution ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Qualitative Properties ◽  
Fredholm Functional

scholarly journals A Class of Fractionalp-Laplacian Integrodifferential Equations in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yiliang Liu ◽  
Liang Lu
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Boundary Value Problems ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Nonlocal Boundary ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Laplacian Operator ◽  
Laplacian Equations

We study a class of nonlinear fractional integrodifferential equations withp-Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractionalp-Laplacian equations. An illustrative example is also discussed.

scholarly journals Existence results for an impulsive neutral integro-differential equations in Banach spaces

2019 ◽  
Vol 27 (3) ◽  
pp. 231-257
Author(s):  
Venkatesh Usha ◽  
Dumitru Baleanu ◽  
Mani Mallika Arjunan
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Group Theory ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Banach Spaces ◽  
Mild Solution ◽  
Existence Results ◽  
Semi Group ◽  
Schaefer Fixed Point Theorem

AbstractIn this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.

scholarly journals EXISTENCE RESULTS FOR NEUTRAL IMPULSIVE QUASILINEAR MIXED VOLTERRA-FREDHOLM TYPE INTEGRODIFFERENTIAL SYSTEMS

2020 ◽  
pp. 83-92
Author(s):  
NARESH KUMAR JOTHI ◽  
K. A. VENKATESAN ◽  
T. GUNASEKAR ◽  
F. PAUL SAMUEL
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Existence Of Solutions ◽  
Semigroup Theory ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Fredholm Type ◽  
Impulsive Conditions ◽  
Fixed Point Technique

The paper deals with the study of existence of solutions for quasilinear neutral mixed Volterra-Fredholm-type integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory

scholarly journals Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Kishor D. Kucche ◽  
Machindra B. Dhakne
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Integral Inequality ◽  
Infinite Delay ◽  
A Priori ◽  
Existence Of Solution ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
A Priori Bounds

In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality established by B. G. Pachpatte. The variants for obtained results are given. An example is considered to illustrate the obtained results.

Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

2014 ◽  
Vol 17 (4) ◽  
Author(s):  
Shengli Xie
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Evolution Equations ◽  
Infinite Delay ◽  
Mild Solutions ◽  
Existence Results ◽  
Order Case

AbstractIn this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

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