Controllability of Mild Solution of Nonlocal Conformable Fractional Differential Equations
نویسندگان
چکیده
In many research works Bouaouid et al. have proved the existence of mild solutions an abstract class nonlocal conformable fractional Cauchy problem form: d α x t / = A + f , 0 g ∈ open="[" close="]"> τ . The present paper is a continuation these in order to study controllability solution above problem. Precisely, we shall be concerned with following id="M2"> B u where id="M3"> vectorial derivative id="M4"> open="" 1 Banach space id="M5"> X and id="M6"> infinitesimal generator semigroup id="M7"> T ≥ on id="M8"> . element id="M9"> fixed vector id="M10"> id="M11"> , id="M12"> are given functions. control function id="M13"> id="M14"> L 2 U id="M15"> id="M16"> bounded linear operator from id="M17"> into id="M18">
منابع مشابه
Approximate Solution of Fuzzy Fractional Differential Equations
In this paper we propose a method for computing approximations of solution of fuzzy fractional differential equations using fuzzy variational iteration method. Defining a fuzzy fractional derivative, we verify the utility of the method through two illustrative examples.
متن کاملExistence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions
In the present work, we investigate the existence of a mild solution of the fractional order differential equation with impulsive conditions in a Banach space. We establish the existence of a mild solution by using some fixed point theorems and resolvent operator theory. We present an example for showing the effectiveness of the main theory. Mathematics subject classification (2010): 34K37, 34K...
متن کاملExistence of the Mild Solution for Neutral Fractional Integro-differential Equations with Nonlocal Conditions
Abstract: This paper studies the existence of the mild solution for the neutral fractional integro-differential equation with nonlocal initial conditions in a Banach space. We obtain the sufficient condition for the existence results via fixed point theorem and approximate technique without assuming noncompactness or Lipschitz continuity of the nonlocal functions. We give an example for explain...
متن کاملMild Solutions for Fractional Differential Equations with Nonlocal Conditions
This paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions d q xt/dt q −Axt ft, xt, Gxt, t ∈ 0, T, and x0 gx x 0 , in a Banach space X, where 0 < q < 1. General existence and uniqueness theorem, which extends many previous results, are given.
متن کاملOn mild solutions to fractional differential equations with nonlocal conditions
We prove new existence results of mild solutions to fractional differential equations with nonlocal conditions in Banach spaces. The nonlocal item is only assumed to be continuous. This generalizes some recent results in this area.
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: Advances in Mathematical Physics
سال: 2022
ISSN: ['1687-9139', '1687-9120']
DOI: https://doi.org/10.1155/2022/3671909