Existence of mild solutions for impulsive fractional functional integro-differential equations
نویسندگان
چکیده
منابع مشابه
Existence of Mild Solutions for Impulsive Fractional Functional Integro–differential Equations
In this investigation, our aim is to develop the definition of mild solutions for impulsive fractional differential equations of order α ∈ (1,2) and obtain some sufficient conditions for existence of mild solutions using the analytic operator functions and fixed point theorems. We also verify the existence result with an example involving partial derivative.
متن کاملExistence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay
The notion of fractional derivatives, as is long familiar, has its commencement in an inquiry postured amid a correspondence in the middle of Leibnitz and L’hospital. The five millennium extremely ancient inquiry has turned into a significant zone of exploration. As of late, it has been demonstrated that the differential designs including derivatives of fractional order emerge in numerous techn...
متن کاملExistence and uniqueness of solutions for impulsive fractional differential equations
In this article, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative.
متن کاملExistence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions
In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.
متن کاملExistence and continuous dependence for fractional neutral functional differential equations
In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2015
ISSN: 1847-9677
DOI: 10.7153/fdc-05-06