[PDF] Top 20 Precondition for Discretized Fractional Boundary Value Problem

... A precondition that uses the special structure of the algebraic system arising from the discretization of a fractional partial differential equation on the red black ordering grid is ...the ... See full document

... the fractional differential equations, it is extensively applied in various sciences, such as physics, mechanics, chemistry, engineering, astronomy, ...the fractional differential equation boundary ... See full document

... This study aims to establish positive solutions to discrete fractional boundary value problems for continuous Gâteaux differentiable functions. A generalized Gâteaux deriva- tive is introduced using a ... See full document

... with fractional boundary value ...of fractional differential equations, and ob- tained some excellent ...of fractional integral bound- ary value problem ... See full document

... The rest of the paper is organized as follows. In Section , we introduce some lemmas and definitions which will be used later. In Section , the existence of positive solutions for the boundary value ... See full document

... This work is devoted to the existence of positive solutions for a fractional boundary value problem with fractional integral deviating argument. The proofs of the main results are based ... See full document

... nonlocal boundary value problems of fractional differential equa- tions on finite/infinite interval have been extensively investigated; see, for instance, [– ...differential fractional ... See full document

... 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

... In this paper, a functional boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case ... See full document

... The fractional calculus is a generalization of the ordinary differentiation and integra- tion on an arbitrary order that can be ...noninteger. Fractional differential equations appear in a number of fields ... See full document

... multi-point boundary value problem at resonance for a class of Riemanne-Liouville fractional differential equations with p-Laplacian operator and dim Ker M =  by constructing suitable ... See full document

... multiple-point boundary value problem for fractional differential equations,” Computers & Mathematics with Applications, ...nonlocal boundary value problems of nonlinear ... See full document

... Fractional differential equations have been of great interest recently because of their intensive applications in economics, financial mathematics and other applied science (see [1]-[13] and the references ... See full document

... Recently, boundary value problems for fractional differential equations have been stud- ied in many papers (see ...of fractional differential equations have been studied by many authors (see ... See full document

... In this paper, we prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian operator. Then, under some mild assumptions on the nonlinear ... See full document

... The purpose of this paper is to study the solvability of a resonant boundary value problem for the fractional p-Laplacian equation. By using the continuation theorem of coincidence degree ... See full document

... From this we see that to solve the problem (P) it remains to prove that the map T has a fixed point in E. Since the Arzela-Ascoli theorem cannot be applied in this situation, then, to prove that T is completely ... See full document

... where fractional boundary value problems have been studied by different methods such as the upper and lower solutions method, fixed point theorems, successive approximations method, Mawhin coincidence ... See full document

... involving fractional operators for S-L problems have been ...some fractional composition operators to propose a fractional approach to the ordinary Sturm- Liouville problem and investigate the ... See full document

... We established the existence of positive solutions for the singular fractional differential equation infinite-point BVP (1.1) using the fixed point index theory in cones. Note that the nonlinearity may possess ... See full document