Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Solutions for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
In this paper, we study existence and uniqueness of solutions to nonlinear fractional differential equations with integral boundary conditions in an ordered Banach space. We use the Caputo fractional differential operator and the nonlinearity depends on the fractional derivative of an unknown function. For the existence of solutions, we employ the nonlinear alternative of Leray-Schauder and the...
متن کاملExistence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
This paper investigates the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with Riemann-Liouville fractional integral boundary conditions. By applying a variety of fixed point theorems, combining with a new inequality of fractional order form, some sufficient conditions are established. Some examples are given to illustrate our results....
متن کاملExistence and uniqueness of solutions for a singular system of higher-order nonlinear fractional differential equations with integral boundary conditions∗
Abstract. In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions. We obtain existence and uniqueness results of solutions by using the properties of the Green’s function, a nonlinear alternative of Leray–Schauder-type, Guo–Krasnoselskii’s fixed point theorem in a cone and the Banach...
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 results for higher order fractional differential inclusions with multi-strip fractional integral boundary conditions
This paper investigates the existence of solutions for higher order fractional differential inclusions with fractional integral boundary conditions involving nonintersecting finite many strips of arbitrary length. Our study includes the cases when the right-hand side of the inclusion has convex as well non-convex values. Some standard fixed point theorems for multivalued maps are applied to est...
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: Boundary Value Problems
سال: 2015
ISSN: 1687-2770
DOI: 10.1186/s13661-015-0329-1