[PDF] Top 20 A note on the initial value problem of fractional evolution equations
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A note on the initial value problem of fractional evolution equations
... time- fractional partial differential ...concrete fractional partial differential ...time- fractional differential equations by the solutions of integer order differential equations, which ... See full document
8
Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
... the initial value problems of fractional evolution equations are proved under some appropriate conditions by using a fantastic property of the Mittag–Leffler ...the initial ... See full document
13
Initial value problem for fractional evolution equations
... with evolution equations of fractional order under noncompactness ...on fractional differential equations under noncompactness conditions, see ... See full document
10
Initial value problem for nonlinear fractional differential equations with sequential fractional derivative
... differential equations have been of great interest for the past three ...of fractional calculus itself as well as its ...mathematics, fractional differential equations can be used in modeling of ... See full document
13
Impulsive initial value problems for a class of implicit fractional differential equations
... differential equations [3, 16, 21, 24]. These equations gives natural descrip- tion of the processes of development subjected to unexpected changes and irregular jumps in their states and present a ... See full document
14
Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions
... the problem (.) comes form physics. For example, fractional diffusion equations are abstract partial differential equations that involve frac- tional derivatives in space and ...time ... See full document
12
Boundary value problem for nonlinear fractional differential equations with delay
... boundary value problems for fractional differential equations have gained these days interest of many ...differential equations, ...boundary value problems of fractional ordinary ... See full document
14
Online Full Text
... the initial value problem of fractional differential equations, which is solved by cuckoo search algorithm based on cubic spline ...the fractional differential equations ... See full document
12
Basic theory of initial value problems of conformable fractional differential equations
... of fractional derivatives in the literature, each depending on a given set of assumptions, the most popular of which are the Riemann–Liouville and Caputo fractional ...a fractional derivative, called ... See full document
14
Initial value problem for second order random fuzzy differential equations
... ferential equations [–] and other recent works such as the study of some topological properties and structure of the solutions to the Cauchy problem for fuzzy differential sys- tems (see [, ... See full document
23
Initial value problems for fractional differential equations involving Riemann-Liouville derivative
... Riemann-Liouville fractional derivative with respect to t of order q ( 0 < q < 1 ) ...called initial value ...Riemann-Liouville fractional differential equation with initial ... See full document
9
Picard iterative processes for initial value problems of singular fractional differential equations
... the initial value problems of singular fractional differential equations are ...for fractional differential equations which provides computable sequences that converge uniformly to ... See full document
17
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... t (13) The new algorithm is based on the modified trapezoidal rule and the fractional Euler's method. Our approach depends on the analytical property that the initial value problem (13 ) is ... See full document
5
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces
... nonlinear fractional differential equations with the Caputo fractional derivatives in Banach ...for initial value problems with initial conditions at inner points for the cases ... See full document
8
Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
... differential equations, the boundary value problem has attained a great deal of attention from many researchers, see 4–11 and the references ...three note- worthy papers dealing with the ... See full document
16
Existence results for a functional boundary value problem of fractional differential equations
... of fractional calculus has gained considerable popularity and importance be- cause of its frequent appearance in various fields such as physics, chemistry, and engineer- ...of fractional differential ... See full document
25
Nonhomogeneous initial and boundary value problem for the Caputo type fractional wave equation
... The fractional calculus has been used effectively to solve different kinds of problems such as fractional relaxation and oscillation process, time fractional diffusive and wave processes [4, 17–21], ... See full document
14
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 ...nonlinear fractional differential equations ... See full document
7
Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition
... Abstract. In this paper we study the existence of solutions for initial value problem for a class of nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition. ... See full document
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6. Bounded Solutions for Fractional Order Differential Equations on the Half-Line
... of initial value problem on the half-line for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the derivative, using the ... See full document
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