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[PDF] Top 20 Existence solutions for boundary value problem of nonlinear fractional q difference equations

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Existence solutions for boundary value problem of nonlinear fractional q difference equations

Existence solutions for boundary value problem of nonlinear fractional q difference equations

... The fractional q-difference calculus had its origin in the works by Al-Salam [] and Agarwal ...the fractional differential calculus setting, new developments in this theory of fractional ... See full document

12

Anti-periodic boundary value problems involving nonlinear fractional q-difference equations

Anti-periodic boundary value problems involving nonlinear fractional q-difference equations

... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...the existence and multiplicity of solutions or ... See full document

8

Existence results for nonlocal boundary value problems of nonlinear fractional q difference equations

Existence results for nonlocal boundary value problems of nonlinear fractional q difference equations

... a nonlinear fractional q-difference equation with nonlocal boundary ...The existence of solutions for the problem is shown by applying some well-known tools of fixed-point ... See full document

15

Multi strip fractional q integral boundary value problems for nonlinear fractional q difference equations

Multi strip fractional q integral boundary value problems for nonlinear fractional q difference equations

... The rest of the paper is organized as follows. In Section  we briefly give some basic nota- tions, definitions and lemmas. In Section  we collect some auxiliary results needed in the proofs of our main results. Section  ... See full document

17

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

... of fractional differential equations has become an important aspect of differential equations; see ...[1–8]. Fractional differential equations can describe many phenomena in various fields ... See full document

15

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

... of solutions of problem (.), second we prove the existence and uniqueness of a solution to problem ...the boundary value problem of nonlinear fractional ... See full document

20

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

Existence of Solutions to Anti Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses

Existence of Solutions to Anti Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses

... the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential ...and nonlinear alternative of Leray-Schauder type ... See full document

17

Existence and uniqueness results to positive solutions of integral boundary value problem for fractional q derivatives

Existence and uniqueness results to positive solutions of integral boundary value problem for fractional q derivatives

... iterative scheme is constructed for approximating the solution. As far as we know, there are still very few works utilizing the fixed point results for mixed monotone operators to study the existence and uniqueness ... See full document

15

On boundary value problems of higher order abstract fractional integro-differential equations

On boundary value problems of higher order abstract fractional integro-differential equations

... the existence of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the ... See full document

20

Boundary value problems of fractional q-difference equations on the half-line

Boundary value problems of fractional q-difference equations on the half-line

... differences), q- calculus, and Hahn’s ...the q-calculus. The q-derivative and the q-integral were first defined by Jackson [1, 2] and had proven to have important applications in many subjects, ... See full document

16

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

... lower solutions and Brouwer degree, to consider discrete problems [, ...of fractional dif- ferential equations (FDE) was started to establish the existence and uniqueness of ... See full document

12

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

... The boundary value problem of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently ... See full document

9

Positive solutions of nonlinear boundary value problems for delayed fractional q difference systems

Positive solutions of nonlinear boundary value problems for delayed fractional q difference systems

... the existence of positive solutions for fractional q-difference system ...Schauder nonlinear alternative. By a positive solution for the fractional q-difference sys- tem ... See full document

16

Solutions for a fractional difference boundary value problem

Solutions for a fractional difference boundary value problem

... discrete problem via critical point theory, the authors are interested in the existence of at least one solution or infinitely many ...The existence of a unique solution is not usually ...that ... See full document

12

Positive and negative solutions of a boundary value problem for a fractional q difference equation

Positive and negative solutions of a boundary value problem for a fractional q difference equation

... for q-derivatives. So boundary value problems for fractional q-difference equations have become of importance and the existence of positive solutions has been ... See full document

13

Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions

Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions

... prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian ...the nonlinear term, we present two new ... See full document

11

Existence of solutions for fractional q difference equation with mixed nonlinear boundary conditions

Existence of solutions for fractional q difference equation with mixed nonlinear boundary conditions

... the fractional q-difference calculus, they developed the q-analogs of fractional integral and difference operators properties, the q-Mittag-Leffler function [], q-Laplace ... See full document

14

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

... differential equations have played a significant role in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, ... See full document

18

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

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

8

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