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[PDF] Top 20 Existence of solution to a class of boundary value problem for impulsive fractional differential equations

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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

... Boundary value problems for nonlinear fractional differential equations have recently been addressed by several ...differential equations of fractional order lies in the fact that ... See full document

12

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

... Caputo fractional derivatives plays a vital role in the modeling of dynamical and physical problems as it has known physical interpretation for initial and boundary value problems like classical ... See full document

11

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

... differential equations have been of great interest ...of fractional calculus itself and by the ...mathematics, fractional differential equations arise in rheol- ogy, dynamical processes in ... See full document

10

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

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

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

... the existence theorem, but also determines the value range of the ...nonlinear differential equations [6] [7] [8] ...anti-periodic boundary value problems in various mathematical ... See full document

10

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 boundary value problem (BVP) type, which is recognized as the ‘discrete’ ...discrete boundary value problems (DBVP) will have a ... See full document

12

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

... fractional derivative of order α (2 < α ≤ 3). Some sufficient criteria for the existence of solutions are obtained by applying the contraction mapping principle and the fixed point theorem. As an ... See full document

19

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

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

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

... the existence of multiple positive solutions are concerned, few papers can be found in the literature dealing with the existence and multiplicity of positive solutions to multi-point boundary ... See full document

12

Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

... [17], exponential stability [18] and Hyers–Ulam stability, have been introduced. Among all these concepts, Hyers–Ulam type stability analysis has been considered a relatively easy and simple way of studying the stability ... See full document

21

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

... the existence and uniqueness of single positives solutions to the three-point boundary value problem ...the existence of multiple positives solutions for ... See full document

19

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 and uniqueness of solution for a class of nonlinear fractional differential equations

Existence and uniqueness of solution for a class of nonlinear fractional differential equations

... The fractional derivative (or called the noninteger order derivative) was invented by Leib- nitz and L’Hospital around the seventeenth century and the related calculus was developed in about  years later ...of ... See full document

11

Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations

Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations

... the existence result for a boundary value problem (BVP) of hybrid fractional sequential integro-differential ...the solution existence of our boundary value ... See full document

12

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

... Boundary value problems associated with second-order differential equations emerge in a variety of areas of applied mathematics and ...of boundary value problems for differential ... See full document

11

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

... the boundary value problems for impulsive fractional differential equations (see [1, 15–26, 30, ...on fractional differential coupled systems is more compli- cated and challenged ... See full document

13

On the existence of a mild solution for impulsive hybrid fractional differential equations

On the existence of a mild solution for impulsive hybrid fractional differential equations

... developed existence of so- lutions under mixed Lipschitz and Carathéodory ...fundamental fractional differential inequalities and the comparison ...the problem of the existence of solutions for ... See full document

14

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

... In order to do a comparison between our obtained re- sults in this paper and the known recent results in the same domain, we refer to: Ouahab [9] proved a version of Fillippov’s theorem for (1.1) without impulse, without ... See full document

17

Existence and Uniqueness of Positive Solutions for a  Coupled System of Nonlinear Fractional  Differential Equations

Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations

... Fractional differential equations can describe many phe- nomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics ... See full document

9

Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations

Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations

... 0, and hence by Theorem 5 the coupled system (32) is HU stable and thus GHU stable. Similarly, we can verify the conditions of Theorems 6 and 4. Next, we take the initial values for the required solution ξ = 1, μ ... See full document

21

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