scholarly journals Existence and uniqueness of solutions of fractional quasilinear mixed integrodifferential equations with nonlocal condition in Banach spaces

2012 ◽  
pp. 1-16 ◽  
Author(s):  
Mabrouk Bragdi ◽  
Mohammed Hazi
Keyword(s):  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Nonlocal Condition ◽  
Integrodifferential Equations ◽  
Uniqueness Of Solutions

On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces

2014 ◽  
Vol 20 (2) ◽  
Author(s):  
S. D. Kendre ◽  
V. V. Kharat
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Integral Inequality ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Nonlocal Condition ◽  
Integrodifferential Equations ◽  
Uniqueness Of Solutions

AbstractIn the present paper we investigate the existence and uniqueness of solutions of nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces. The technique used in our analysis is based on fixed point theorems and Pachpatte's integral inequality.

scholarly journals Existence and Ulam stability for implicit fractional q-difference equations

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Saïd Abbas ◽  
Mouffak Benchohra ◽  
Nadjet Laledj ◽  
Yong Zhou
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Difference Equations ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Ulam Stability ◽  
Uniqueness Of Solutions ◽  
Stability Results ◽  
Rassias Stability

AbstractThis paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and uniqueness of solutions, next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Two illustrative examples are given in the last section.

scholarly journals Some Existence Results for Systems of Impulsive Stochastic Differential Equations

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sliman Mekki ◽  
Tayeb Blouhi ◽  
Juan J. Nieto ◽  
Abdelghani Ouahab
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Impulsive Systems ◽  
Uniqueness Of Solutions

Abstract In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the existence and uniqueness of solutions are established by mean of some fixed point theorems in vector Banach spaces. An example is provided to illustrate the theory.

scholarly journals Existence results for Hadamard and Riemann-Liouville functional fractional neutral integrodifferential equations with finite delay

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4611-4618
Author(s):  
Mohamed Abbas
Keyword(s):  
Existence And Uniqueness ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Contraction Principle ◽  
Uniqueness Of Solutions ◽  
Finite Delay ◽  
Uniqueness Of The Solution

By using Leray-Schauder?s alternative, we study the existence and uniqueness of solutions for some Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay, whereas the uniqueness of the solution is established by Banach?s contraction principle. An illustrative example is also included.

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