[PDF] Top 20 Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations

... the fractional derivative which is the generalization of the traditional integer order dif- ferential and integral ...The fractional derivatives provide an excellent tool for the description of ... See full document

... a class of boundary value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach ... See full document

... differential equations, which provide a natural description of observed evolu- tion processes, are regarded as important mathematical tools for the better understanding of several real world problems in the ... See full document

... the fractional order derivative used is either the Caputo or the Riemann-Liouville fractional order derivative involving an integral expression and the gamma ...local fractional derivative, ... See full document

... where f : [0, 1] × [0, ∞ ) → ( −∞ , + ∞ ) is nonlinear continuous function and D α is the Riemann-Liouvilli fractional derivative. In [16], Kosmative studied existence and uniqueness of solutions to ... See full document

... of fractional differential equations have been generally studied, see ...knows, fractional differential equations are used in many fields, for instance, control theory, mechanics, polymer ... See full document

... years, fractional calculus has gained considerable importance due to the applications in almost all applied ...that fractional derivatives and integrals are more convenient for describing real materials, ... See full document

... an impulsive differential system to describe these kinds of phenomena since the last ...the boundary value problems of impulsive fractional differential equations (see ...of ... See full document

... The paper is organized as follows. In Section , we present some basic concepts, the notations about the fractional calculus and the properties of the Mittag-Leffler functions. In Section , we present the definition ... See full document

... a class of nonlinear impulsive boundary value problem of fractional order differential ...fixed point theorems, we develop the required ... See full document

... three-point integral boundary value problems of time-delay nonlinear fractional functional differential equations involving Caputo fractional derivatives of order α ... See full document

... on boundary value problems of fractional order coupled systems is relatively ...four-point boundary value problem for a class of nonlinear fractional ... See full document

... implicit impulsive boundary value problems (IBVPs) of fractional differential equations ...fixed point and Banach contraction theorems to obtain conditions for the existence ... See full document

... fixed point theory, we have developed adequate conditions under which the proposed class of implicit impulsive FODEs has at least one ...nonlinear problems from optimiza- tion and numerical ... See full document

... Cabada et al. [] have also studied properties of solutions of nonlinear fractional dif- ferential equations. They used the properties of the associated Green’s function and the Guo-Krasnosellskii ... See full document

... Abstract. We study in this paper,the existence of solutions for fractional integro differential equations with impulsive and integral conditions by using fixed point method. We ... See full document

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

... The plan of the paper is as follows. In Section , we shall give some definitions and lemmas to prove our main results. In Section , we establish the existence of a single pos- itive solution for the boundary ... See full document

... Boundary value problems for nonlinear fractional differential equations have been investigated by several researchers ...recently. Integral boundary conditions have ... See full document

... Critical point theory has been very useful in determining the existence of solutions for integer order differential equations with some boundary conditions; see for instance, in the vast ... See full document