[PDF] Top 20 Boundary value problem for nonlinear fractional differential equations with delay

... The paper is arranged as follows. In Section , we review some basic definitions and lemmas. Section  is devoted to the Green function and to the existence and uniqueness of the defined problem. In Section , we ... See full document

... Abstract—In this paper, by using a fixed-point theorem in cones to study the boundary value problem for a class of higher order mixed type of delay differential equations with ... See full document

... initial value problems for impulsive fractional differential equations involving the Caputo farctional ...two-point boundary value problem involving nonlinear impulsive ... See full document

... on boundary value problems of frac- tional ordinary differential equations [–] and an initial value problem of fractional functional differential equations ...the ... See full document

... In this section, we establish the existence of single positive solution for the boundary value problem (.) and (.) by the lower and upper solution method. In this section, we set f ∈ C([, ] × ... See full document

... multi-point boundary value problems for fractional differential equations [7, 24, ...eigenvalue problem corresponding to a class of fractional differential ... See full document

... of fractional differential equa- tions with periodic boundary value conditions, where certain nonlinear growth conditions of the nonlinearity need to be ...The problem is issued by ... See full document

... Riemann-Liouville fractional derivative. By a fixed point theorem in Banach algebra, an existence theorem for the boundary value problem of the above fractional differential equation is ... See full document

... a boundary value problem of nonlinear fractional differential ...the nonlinear term depends on the fractional derivative of an unknown ...considered problem is ... See full document

... The rest of this paper is organized as follows. In Section , we recall some useful defini- tions and properties, and present the properties of the Green’s function. In Section , we give some sufficient conditions for the ... See full document

... of boundary value problems associated to some differential equations, difference equations, and dynamic equations on scales (see, for example, [2, 3, 6, 8, 9, 11, 12] and the ... See full document

... to boundary value problems for fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the references ...of ... See full document

... a boundary value problem of nonlinear fractional differential equations and inclusions of order q Î (1, 2] with nonlocal strip ...first problem, we consider the ... See full document

... Fractional differential equations can describe many phe- nomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics ... See full document

... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...the nonlinear fractional differential ... See full document

... singular boundary value problems were widely considered by using various methods see, ...multipoint boundary-value problems, the basic obstacle must be overcome: the applying of topological ... See full document

... Fractional differential calculus is a discipline to which many researchers are dedicating their time, perhaps because of its demonstrated applications in various fields of science and engineering []. Many ... See full document

... In describing some phenomena and processes of many fields such as physics, chemistry, aerodynamics, electrodynamics of a complex medium, polymer rheology, capacitor the- ory, electrical circuits, biology, control theory, ... See full document

... 2 < α ≤ 3 is a real number, q : (0, 1) → [0, ∞] is Lebesgue integrable and does not vanish identically on any subinterval of (0, 1). They established the existence results by Krasnoselskii’s fixed point theorem in a ... See full document

... The rest of this paper is organized as follows. Section  contains some necessary no- tations, definitions and lemmas. In Section , we establish a theorem on existence of so- lutions for BVP (.) under nonlinear ... See full document