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[PDF] Top 20 The existence of solutions to a class of boundary value problems with fractional difference equations

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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

... years, fractional differential equations have been of great ...of fractional calculus itself and by the ap- plications of such constructions in various sciences such as physics, mechanics, chemistry ... See full document

20

On the existence of nonnegative solutions for a class of fractional boundary value problems

On the existence of nonnegative solutions for a class of fractional boundary value problems

... Nonnegative solutions for nonlinear fractional differential equations comprising of standard Caputo fractional derivative have been ...the solutions are unique and further unique as ... See full document

10

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

... Remark 4. Notice that the hypotheses in Theorem 3 are invariant by continuous per- turbation. More precisely, if f(t, 0) = 0 for any t Î [0, 1] and f satisfies (H1) and (H2) of Theorem 3 then g(t, x) = a(t) + f(t, x) ... See full document

9

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 differential ... See full document

11

Existence of positive solutions for integral boundary value problems of fractional differential equations with p Laplacian

Existence of positive solutions for integral boundary value problems of fractional differential equations with p Laplacian

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of ...multi-point boundary ... See full document

19

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

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

... differential equations have been recently used as effective tools in study the modelling of many real ...flow problems, control theory, aerodynamics, nonlinear oscillation of earthquake, the fluid-dynamic ... See full document

20

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

... a fractional difference equation of two point BVP type, which was realized as the discrete ...discrete boundary value problems will have a single ... See full document

12

Existence of solutions for Sturm Liouville boundary value problems of higher order coupled fractional differential equations at resonance

Existence of solutions for Sturm Liouville boundary value problems of higher order coupled fractional differential equations at resonance

... decades, fractional differential equations have been widely used in var- ious fields of science, engineering and mathematics (see ...of fractional differential equations, it is of great ... See full document

18

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

... the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo ... See full document

12

Positive solutions for boundary value problems of fractional difference equations depending on parameters

Positive solutions for boundary value problems of fractional difference equations depending on parameters

... that fractional difference equations have been extensively studied in recent ...discrete fractional boundary value problems are also ...the existence of positive ... See full document

14

Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions

Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions

... of fractional differential equations is accompanied by fractional calcu- lus; see ...of fractional calculus in the fields of physical, bio- logical, heat conduction, chemical physics, economics, ... See full document

19

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

... on fractional calculus are devoted to the solvability of linear fractional differential ...the existence of solutions (or positive solutions) of nonlinear initial (or boundary) ... See full document

10

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 ... See full document

16

Some existence theorems for fractional integro-differential equations and inclusions with initial and non-separated boundary conditions

Some existence theorems for fractional integro-differential equations and inclusions with initial and non-separated boundary conditions

... the existence of solutions for a new class of boundary value problems of nonlinear fractional integro-differential equations and inclusions of arbitrary order with ... See full document

40

Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

... a class of boundary value problems for conformable fractional differential equations under a new ...the existence of the boundary value problem is obtained, ... See full document

10

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

... the existence and uniqueness of solutions for a class of boundary value problem of the nonlinear variable coefficient of fractional differential ...The existence of ... 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

... of fractional differential equations has gained considerable atten- tion and has evolved as an interesting and popular field of ...of fractional calculus are found to be more practical and effective ... See full document

15

Existence results of positive solutions for boundary value problems of fractional differential equations

Existence results of positive solutions for boundary value problems of fractional differential equations

... The existence results were obtained by the nonlinear alternative ...the boundary value prob- lem (BVP for short in the sequel) ...the existence of solutions for BVP ...some ... See full document

19

Existence of positive solutions for boundary value problems of p Laplacian difference equations

Existence of positive solutions for boundary value problems of p Laplacian difference equations

... Difference equations, the discrete analog of differential equations, have been widely used in many fields such as computer science, economics, neural network, ecology, cybernet- ics, ...the existence of ... See full document

15

Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions

Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions

... the existence of symmetric solutions for or- dinary differential equation boundary value problems; for example, see [–] and the references ...the existence of symmetric ... See full document

14

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