[PDF] Top 20 Existence and uniqueness of the solution of fractional damped dynamical systems
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Existence and uniqueness of the solution of fractional damped dynamical systems
... Recently, fractional differential equations [–] have been studied ...of fractional calculus itself and its wide application to various fields of science, such as physics, chemistry, bio- logical, ... See full document
14
Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
... nonlinear fractional differential system of higher ...coupled fractional di ff erential system depend on the fractional derivatives of lower orders ...the fractional differential system are ... See full document
17
Existence and uniqueness of solution for a boundary value problem of fractional order involving two Caputo’s fractional derivatives
... The existence theory for initial value problems involving fractional derivatives has re- ceived considerable attention during recent decades, we mention, for example, [–] and ...for fractional ... See full document
19
The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... the existence and uniqueness of the solution for nonlinear Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo ... See full document
15
Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
... Note that this problem was considered in 6 where the authors proved the existence of one positive solution for 1.1 by using Krasnoselskii’s fixed point theorem and nonlinear alternative of Leray-Schauder ... See full document
10
Existence and uniqueness of positive solution to singular fractional differential equations
... Motivated by the works mentioned above, in this paper we aim to establish the existence and uniqueness of a positive solution to the BVP (.). Our work presented in this paper has the following ... See full document
12
Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain
... the existence and uniqueness of the solution for a generalized class of fractional order differential equations involving the Riemann- Liouville differential operator on unbounded domain [0, + ... See full document
8
Existence and uniqueness of the solution to a coupled fractional diffusion system
... nonlinear fractional diffusion equa- tion of type () with unknown function, many authors have considered the initial boundary value ...in fractional reaction-diffusion systems with initial boundary ... See full document
14
Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi point boundary condition via Caputo derivative
... the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and ... See full document
17
Existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem
... years, fractional calculus is one of the interesting issues that have at- tracted the attention of many scientists, specially in mathematics and engineering ...of fractional differential ...of ... See full document
11
Existence and uniqueness of the global solution for a class of nonlinear fractional integro differential equations in a Banach space
... In this paper, we establish the conditions for the existence of a unique solution for problem (1.1), which is indeed an important and useful contribution to the existing literature on the topic. We ... See full document
10
Existence and Uniqueness of Solution to Two Point Boundary Value for Two Sided Fractional Differential Equations
... Recently, fractional differential equations have been verified to be valuable tools in the modeling of many phenomena in various fields of science and ...the existence of solutions for fractional ... See full document
5
Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... The fractional derivative (or called the noninteger order derivative) was invented by Leib- nitz and L’Hospital around the seventeenth century and the related calculus was developed in about years later ...of ... See full document
11
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
... N’Gu´er´ekata, “A Cauchy problem for some fractional abstract di ff erential equation with non local conditions,” Nonlinear Analysis: Theory, Methods & Applications , vol. N’Gu´er´eka[r] ... See full document
10
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... In recent years, many people pay attention to the fractional Laplacian. One of the reasons for this comes from the fact that this operator naturally arises in several phenomena like flames propagation and ... See full document
8
Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems
... φ , ψ : I × R × R → R are continuous. We use the technique of topological degree theory to obtain sufficient conditions for existence and uniqueness of positive solutions to the system. Finally, we provide an ... See full document
12
On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics
... Working within the framework of the linearized dynamical theory of thermoelasticity, Dafermos [9 J established the existence, uniqueness and asymptotic stability of "generalized solution[r] ... See full document
64
Random Attractors of Stochastic Non Autonomous Nonclassical Diffusion Equations with Linear Memory on a Bounded Domain
... related solution semigroups are shown to possess finite-dimensional regular ex- ponential ...discuss existence and uniqueness of the resulting evolution ... See full document
16
Global Properties of Evolutional Lotka Volterra System
... Evolutional Lotka-Volterra system does not seem to be well understood analytically except for the case of two species. In this paper, we have studied how the evolu- tional change of a character influences global ... See full document
10
Existence and uniqueness theory for MHD systems
... (see Theorem 5.1) formed a key part of the a priori estimates. In Section 5.2 we exhibited a counterexample to the commutator estimate in the case s = 1 in 2D. Since this counterexample depended heavily on having just ... See full document
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