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[PDF] Top 20 Approximate solution of linear and nonlinear fractional differential equations under m point local and nonlocal boundary conditions

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Approximate solution of linear and nonlinear fractional differential equations under m point local and nonlocal boundary conditions

Approximate solution of linear and nonlinear fractional differential equations under m point local and nonlocal boundary conditions

... an approximate solution of initial value problems of ...the fractional-order derivatives of Legendre polynomials to its se- ries representation, and they used it to solve some scientific ...of ... See full document

28

Existence of solutions for Riemann-Liouville fractional differential equations with nonlocal Erdélyi-Kober integral boundary conditions on the half-line

Existence of solutions for Riemann-Liouville fractional differential equations with nonlocal Erdélyi-Kober integral boundary conditions on the half-line

... Theorem . (Nonlinear alternative for single-valued maps) ([]) Let E be a Banach space, C be a closed, convex subset of E, U be an open subset of C and  ∈ U. Suppose that F : U → C is a continuous, compact ... See full document

15

Existence results for multi term fractional differential equations with nonlocal multi point and multi strip boundary conditions

Existence results for multi term fractional differential equations with nonlocal multi point and multi strip boundary conditions

... The operator J : U → C is continuous and completely continuous. From the choice of U, there is no u ∈ ∂U such that u = θ J (u) for some θ ∈ (0, 1). Consequently, by the nonlinear alternative of Leray–Schauder type ... See full document

23

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 ... See full document

18

Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three point boundary conditions

Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three point boundary conditions

... The fractional differential equations have received increasing attention during recent years and have been studied extensively ...that fractional calculus provides an efficient and excellent instru- ... See full document

14

Existence of solutions for integro differential equations of fractional order with nonlocal three point fractional boundary conditions

Existence of solutions for integro differential equations of fractional order with nonlocal three point fractional boundary conditions

... ary conditions are also interesting and important from a physical point of view [, ] as the condition D δ x() – D δ x(η) = a is a fractional analogue of the classical flux ... See full document

9

Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions

Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions

... of nonlinear systems rep- resented by evolution equations or inclusions in abstract spaces and qualitative theory of fractional differential equations has been extensively studied by several ... See full document

16

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 than the study ... See full document

13

Positive solution of singular fractional differential system with nonlocal boundary conditions

Positive solution of singular fractional differential system with nonlocal boundary conditions

... the solution is established by the Banach contraction ...hybrid fractional differential equations with Dirichlet boundary con- ...fixed point theory, the existence and uniqueness results ... See full document

15

Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval

Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval

... different conditions on the nonlinear function involved in the problem by apply- ing different tools of the fixed point ...that M[ ψ(M) p δ] – > , where ψ : [, ∞) → (, ∞) is a ... See full document

10

A coupled system of fractional differential equations with nonlocal integral boundary conditions

A coupled system of fractional differential equations with nonlocal integral boundary conditions

... of fractional differential equations with Riemann-Liouville integral boundary conditions of different ...the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point ... See full document

8

Some Results on Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions of Riemann-Liouville Type

Some Results on Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions of Riemann-Liouville Type

... the fractional integro- differential equations with nonlocal integral boundary conditions of Riemann- Liouville ...fixed point theorem and the uniqueness result is based ... See full document

6

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 appears in ... See full document

9

Existence theory for fractional differential equations with non separated type nonlocal multi point and multi strip boundary conditions

Existence theory for fractional differential equations with non separated type nonlocal multi point and multi strip boundary conditions

... fixed point theorem, nonlinear alter- native for single valued maps, and Krasnoselskii’s fixed point theorem, are presented in ...fixed point theorem and Banach’s fixed point theorem ... See full document

20

Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems

Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems

... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...of solution to the nonlinear ... See full document

7

Boundary value problems for fractional differential equations with nonlocal boundary conditions

Boundary value problems for fractional differential equations with nonlocal boundary conditions

... for boundary value problems of fractional differential equations with local boundary value problems by the use of techniques of nonlinear anal- ysis (fixed-point theorems, ... See full document

12

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

... of nonlocal boundary value problems of nonlinear fractional differential equations and inclusions supplemented with nonlocal and generalized Riemann- Liouville ... See full document

17

Nonlinear sequential fractional differential equations with nonlocal boundary conditions

Nonlinear sequential fractional differential equations with nonlocal boundary conditions

... when fractional cal- culus was born, several different derivatives have been introduced: Riemann-Liouville, Hadamard, Grunwald-Letnikov, and Caputo, just to mention a few ...appropriate fractional derivative ... See full document

15

Existence of Solutions for Nonlinear Fractional Integro Differential Equations with Three Point Nonlocal Fractional Boundary Conditions

Existence of Solutions for Nonlinear Fractional Integro Differential Equations with Three Point Nonlocal Fractional Boundary Conditions

... Fractional calculus differentiation and integration of arbitrary order is proved to be an important tool in the modelling of dynamical systems associated with phenomena such as fractal and chaos. In fact, this ... See full document

10

Nonlinear fractional differential equations with nonlocal integral boundary conditions

Nonlinear fractional differential equations with nonlocal integral boundary conditions

... that fractional order models are more realistic and practical than the classical integer order models (see, ...in fractional differential equations and many wonderful results have been ...of ... See full document

11

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