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[PDF] Top 20 Separated boundary value problem for fractional differential equations depending on lower order derivative

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Separated boundary value problem for fractional differential equations depending on lower order derivative

Separated boundary value problem for fractional differential equations depending on lower order derivative

... of fractional dif- ferential equations whose nonlinear term f depends on the lower-order fractional deriva- tive of the unknown function x(t) with the fractional separated ... See full document

11

Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives

Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives

... To the best of our knowledge, problem (.) considered in this paper is new and covers a variety of special cases for appropriate values of the parameters involved in the bound- ary conditions (see the ‘Concluding ... See full document

16

Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations

Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations

... sequential fractional differential ...the fractional derivatives that rep- resents an interesting complication that does not arise in the integer- order ...the problem (1.4), we have a ... See full document

18

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

... Integral boundary conditions also play a part in population dynamic and cellular systems [4, ...of fractional differential equations (FDEs) is required in order to analyze and design ... See full document

10

Anti periodic boundary value problems of fractional differential equations with the Riemann Liouville fractional derivative

Anti periodic boundary value problems of fractional differential equations with the Riemann Liouville fractional derivative

... where D α 0+ denotes the standard Riemann-Liouville fractional derivative of order α ∈ (1, 2), and the nonlinear function f (t, · , · ) may be singular at t = 0. By applying the contraction mapping ... See full document

24

Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann Liouville derivative

Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann Liouville derivative

... the boundary value problem for a nonlinear differential equation with Riemann-Liouville fractional order ...of boundary value problems of nonlinear fractional ... See full document

12

Boundary value problems for impulsive multi-order Hadamard fractional differential equations

Boundary value problems for impulsive multi-order Hadamard fractional differential equations

... years, fractional calculus has gained considerable importance due to the applications in almost all applied ...that fractional derivatives and integrals are more convenient for describing real materials, ... See full document

13

Boundary value problem for nonlinear fractional differential equations with delay

Boundary value problem for nonlinear fractional differential equations with delay

... century. Fractional calculus helps us describing natural phenomena and mathematical models more ...Therefore, fractional dif- ferential equations are becoming more famous, and the theory and its ... See full document

14

On mixed boundary value problem of impulsive semilinear evolution equations of fractional order

On mixed boundary value problem of impulsive semilinear evolution equations of fractional order

... Fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, control ... See full document

8

Boundary value problems for fractional differential equations

Boundary value problems for fractional differential equations

... the fractional differential equations have received more and more atten- ...The fractional derivative has been occurring in many physical applications such as a non-Markovian diffusion process ... See full document

11

Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity

Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity

... years, fractional differential equations arise in many engineering and scien- tific fields such as mathematical modeling of systems physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer ... See full document

17

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 ... 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

... of fractional derivatives goes back to Leibniz’s note in his list to L’Hospital, dated  September , in which the meaning of the derivative of order / is ...arbitrary order, which by ... See full document

10

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

... for derivative of integral ...of fractional derivatives, such as Riemann-Liouville fractional derivative, Marchaud fractional derivative, Caputo’s derivative, ... 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

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

20

Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

... differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in various fields, such as physics, mechanics, aerodynamics, chemistry, and ... See full document

16

Boundary value problems for hybrid differential equations with fractional order

Boundary value problems for hybrid differential equations with fractional order

... decades, fractional differential equations have attracted many authors (see ...differential equations involving fractional derivatives in time, compared with those of integer order in ... See full document

19

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

Initial value problem for nonlinear fractional differential equations with sequential fractional derivative

Initial value problem for nonlinear fractional differential equations with sequential fractional derivative

... establish the existence and uniqueness of solutions in C([0, ∞ )) by using the Banach fixed point theorem and an inductive method. An example is presented to illustrate the results in this paper. In addition, existence ... See full document

13

Lyapunov-type Inequality for Higher Order Fractional Boundary Value Problem with Caputo Derivative

Lyapunov-type Inequality for Higher Order Fractional Boundary Value Problem with Caputo Derivative

... a fractional boundary value problem of order 𝛼 for 𝛼 ∈ (3, ...and fractional eigenvalue problems, we determined lower bounds for the first eigenvalue from Lyapunov-type ... See full document

5

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