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[PDF] Top 20 Existence of a class of fractional difference equations with two point boundary value problem

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Existence of a class of fractional difference equations with two point boundary value problem

Existence of a class of fractional difference equations with two point boundary value problem

... the fractional difference by choice is a normal method of letting the index of differences, in the criterion appearance for the nth difference, to be any number (real or ...the fractional difference operator ... See full document

12

The existence of solutions to a class of boundary value problems with fractional difference equations

The existence of solutions to a class of boundary value problems with fractional difference equations

... the existence and uniqueness of a solution to the first problem by the contraction mapping theorem and the Brouwer ...the existence and nonexistence of a solution to the second problem in terms ... See full document

20

Existence and Uniqueness of Solution to Two Point Boundary Value for Two Sided Fractional Differential Equations

Existence and Uniqueness of Solution to Two Point Boundary Value for Two Sided Fractional Differential Equations

... considering existence of solution to frac- tional differential problems, by means of the variable way, In [13], by the critical point theory, author con- sidered the existence of solutions of the ... See full document

5

Existence of positive solution to a class of boundary value problems of fractional differential equations

Existence of positive solution to a class of boundary value problems of fractional differential equations

... Riemann-Liouvilli fractional derivative. In [16], Kosmative studied existence and uniqueness of solutions to two-point boundary value problem for fractional ... See full document

11

Existence of solutions to a coupled system of fractional differential equations with infinite point boundary value conditions at resonance

Existence of solutions to a coupled system of fractional differential equations with infinite point boundary value conditions at resonance

... for fractional boundary value problems with infinite-point boundary ...Although fractional boundary value problems at resonance have been studied by some authors, to ... See full document

13

Boundary value problems for fractional difference equations with three point fractional sum boundary conditions

Boundary value problems for fractional difference equations with three point fractional sum boundary conditions

... disciplines. Fractional order differential equations play a vital role in describ- ing many phenomena related to physics, chemistry, mechanics, control systems, flow in porous media, electrical networks, ... See full document

13

Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions

Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions

... Fractional-order boundary value problems have been extensively studied by many re- ...of fractional-order differential equations have attracted special attention in view of their ... See full document

16

Existence of positive solutions for two point boundary value problems of nonlinear fractional q difference equation

Existence of positive solutions for two point boundary value problems of nonlinear fractional q difference equation

... the two-point boundary value problems of a nonlinear fractional q-difference equation with dependence on the first order ...fixed point theorem and an extension of Krasnoselskii’s ... See full document

12

Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses

Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses

... of fractional differ- ential equations is gaining much importance and ...on boundary value problems of fractional ordinary differential equations (see [1– ...nonlocal ... See full document

13

Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line

Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line

... Since f (t, ) ≡ , for all t ∈ [, +∞),  is not a solution of the boundary value problem (.)-(.). We know that u ∗ and v ∗ are the maximal and minimal positive solutions of the boundary ... See full document

16

Existence of solutions for the delayed nonlinear fractional functional differential equations with three point integral boundary value conditions

Existence of solutions for the delayed nonlinear fractional functional differential equations with three point integral boundary value conditions

... 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

18

Uniqueness and existence of positive solutions for a multi point boundary value problem of singular fractional differential equations

Uniqueness and existence of positive solutions for a multi point boundary value problem of singular fractional differential equations

... The paper is organized as follows. In Section , we give some preliminary results that will be used in the proof of the main results. In Section , we establish the uniqueness of a positive solution for the singular ... See full document

11

Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

... the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, ... See full document

16

Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations

Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations

... of fractional derivatives, such as Riemann-Liouville fractional derivative, Marchaud fractional derivative, Caputo’s derivative, Griinwald-Letnikov fractional derivative, ...decades, ... See full document

15

Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations

Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations

... The rest of this paper is organized as follows. In Section , we shall introduce some definitions and lemmas to prove our main results. In Section , we give some sufficient conditions for the existence of single ... See full document

19

Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions

Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions

... Let E ⊂ U × U be bounded. By the Arzelá–Ascoli theorem and Theorem 2.4, we easily know that T ∗ (E) is equicontinuous. Therefore T ∗ is completely continuous. Hence, by using Schauder’s fixed point theorem, T ∗ has ... See full document

22

The existence of a ground state solution for a class of fractional differential equation with p-Laplacian operator

The existence of a ground state solution for a class of fractional differential equation with p-Laplacian operator

... Proof By using Lemmas . and ., we can see that there exists u ∈ N such that I(u) = m = inf N I. Then u is a critical point of I| N . From Lemma . we have I (u) = . So boundary value ... See full document

12

Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations

Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations

... the existence and uniqueness results and some fundamental differential inequalities for fractional hy- brid differential equations, initiating the study of such systems, and proved, utilizing the ... See full document

10

Existence of solution to a class of boundary value problem for impulsive fractional differential equations

Existence of solution to a class of boundary value problem for impulsive fractional differential equations

... Evidently, problem (.) not only includes the boundary value problems mentioned above [] but also extends them to a much wider case. Our main tools are the nonlin- ear alternative of ... See full document

12

M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions

M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions

... towards fractional differential equations as many phenomena in various branches of science and engineering are ...of fractional differential equations due to Lakshmikantham ...Periodic ... See full document

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