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Title
EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEM
Type of Research Presentation
Keywords
Fractional differential equations, fractional integral condition, boundary value problem, fixed point.
Abstract
In this work a class of boundary value problem including fractional differential equa- tion is studied. The existence and uniqueness of solution for a nonlinear fractional boundary value problem are discussed. This problem includes a nonlinear fractional differential equation of order α ∈ (0,1] and fractional integral boundary conditions. In fact we consider the following boundary value problem of fractional differential equation c D α y(t) = f(t,y(t)) 0 < α < 1, t ∈ J := [0,T] (1) y(0) + µ Z T 0 y(s)ds = y(T), where c D α denotes the Caputo fractional derivative of order α, f : J × R → R is given function will be specified later and µ ∈ R. Banach contraction principle and Browder-Poter fixed point theorem will be used for proving existence and uniqueness of solution for that problem.
Researchers asghar ahmadkhanlu (First Researcher)