[PDF] Top 20 Initial value problem for fractional evolution equations
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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
A note on the initial value problem of fractional evolution equations
... on initial values and orders for the initial value problem of fractional evolution equations in infinite dimensional ... 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
Picard iterative processes for initial value problems of singular fractional differential equations
... One finds that the existence and uniqueness of solution of () were proved, but the it- erative scheme for uniformly approximating the solutions of () was not given in [–]. Indeed, often it is very hard to solve ... See full document
17
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
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
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
Initial value problems for fractional differential equations involving Riemann-Liouville derivative
... of fractional derivatives become apparent in modeling mechanical and electrical properties of real materials, and in many other fields, like theory of ...studying fractional differential equations ... See full document
9
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
Impulsive initial value problems for a class of implicit fractional differential equations
... impulsive initial value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative were obtained using Banach’s contraction mapping ... See full document
14
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
Nonhomogeneous initial and boundary value problem for the Caputo type fractional wave equation
... In this paper, we give an analytical solution of a fractional wave equation for a vibrating string with Caputo time fractional derivatives. We obtain the exact solution in terms of three parameter ... See full document
14
On a nonlocal 1 D initial value problem for a singular fractional order parabolic equation with Bessel operator
... the fractional case, there are only few papers using the previous method to prove their ...the fractional derivative operator helps us to obtain a priori bounds for solutions of certain classes of ... 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 results for a functional boundary value problem of fractional differential equations
... For the convenience of the reader, we present here the necessary definitions from frac- tional calculus theory. These definitions and properties can be found in the literature. The readers who are unfamiliar with this area ... See full document
25
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces
... the initial value problems for fractional differential equations were studied with the initial conditions at the endpoints of the definition interval, recalling that the classical ... See full document
8
Basic theory of initial value problems of conformable fractional differential equations
... cal initial value problem by means of some fixed point theorems and by the use of the conformable fractional calculus, and further discuss the stabilities of solutions; and then we investigate ... See full document
14
On mixed boundary value problem of impulsive semilinear evolution equations of fractional order
... 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 theory, signal, and ... See full document
8
Positive solutions for discrete fractional initial value problem
... Γ(ν) is a clear ana- logue of the Cauchy function for ordinary differential equations. Hence, the authors are heavily influenced by the approach taken by Miller and Ross [12] who study the linear ν-th order ... See full document
13
On the linear fuzzy model associated with Caputo–Fabrizio operator
... the fractional integral corresponding to this new ...for fractional operator that we use in this pa- ...new fractional operator are reviewed in detail in [1, ...with fractional order is ... See full document
18
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