[PDF] Top 20 Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation
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Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation
... Riemann-Liouville fractional deriva- tives, and that it is possible to obtain initial values for such initial conditions by appropri- ate measurements or ...the existence and uniqueness of the ... See full document
11
Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of ... See full document
15
Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations
... in evolution processes are modeled as impulsive fractional differential equations and existence results for such equations have been studied by several authors [9, 23, ...the existence of ... See full document
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Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
... the fractional calculation and then introduce the necessary functional spaces and their corresponding ...the existence and uniqueness of the weak solutions for a class of ... See full document
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1. Existence of positive solutions to a coupled system of nonlinear fractional order dierential equations with m-point boundary conditions
... of fractional order differential equations is the fastest growing area of research due to its large number of applications in real world ...of fractional order have great importance in many scientific and ... See full document
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Positive solutions for discrete fractional initial value problem
... the existence and uniqueness of positive solutions for a class of non- linear initial value problem for a finite fractional difference equation obtained by constructing the upper ... See full document
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Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
... of fractional diffe- rential equations involving Riemann-Liouville differential operator ( 0 < < α 1 ) has been discussed by Lakshmikantham et ...Caputo fractional de- rivatives of order 0 < < α ... See full document
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Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
... the existence of one positive solution for ...and nonlinear alternative of Leray-Schauder type in a cone and assuming certain hypotheses on the function ...the uniqueness of the solution is not ... See full document
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The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
... the existence and uniqueness of positive solutions for the operator equation ...the existence and uniqueness of positive solutions for nonlinear fractional ... See full document
16
Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions
... the existence of positive solutions for the fractional boundary value problem using Krasnoselskii’s fixed point theorem and the Leggett-William’s fixed point ...the existence of at least one ... See full document
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Existence of Fractional Stochastic Schr¨odinger Evolution Equations with Potential and Optimal Controls
... the fractional stochastic nonlinear Schr¨odinger evolution equations with potential and optimal controls in Hilbert ...The existence of mild solutions is proved by means of ... See full document
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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 of positive mild solutions for a class of fractional evolution equations on the half line
... integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing ...upper ... See full document
14
Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently appears in various fields such as physics, chemistry, biology, ... See full document
9
Uniqueness and existence of positive solutions for the fractional integro-differential equation
... population evolution before its level falls to zero in the long run [, ...the nonlinear oscillation of earthquake can be modeled with fractional deriva- tives [], and the fluid-dynamic traffic model ... See full document
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Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... with fractional order as models in more and more fields of science and engineering makes it necessary to study the qualita- tive theory of such equations, and we hope that our work could make some contributions in ... See full document
11
Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
... fundamental solutions of fractional evolution equations”, Chaos, Solitons and Fractals, ...stochastic fractional integrodifferential equations”, Advances in Dynamical Systems and Applications, ... See full document
6
On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
... the fractional derivative is understood in the Caputo sense, A is an almost sectorial operator on a complex Banach space, and f, h are given ...new existence theorem for the problem ...the solutions ... See full document
16
Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
... Therefore, applying Lemma ., the results ()-() in Theorem . are tenable. Remark . Comparing Theorem ., Theorem . and Theorem . with the main re- sults in [], we provide some alternative approaches to the ... See full document
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Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation
... for fractional calculus itself, the fractional dif- ferential equations have been applied in many research fields, such as physics, chemistry, biology, control theory, economics, signal and image processing, ... See full document
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