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[PDF] Top 20 Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

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Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

... the existence and uniqueness of mild solution to ...the uniqueness result for a mild solution is obtained when f satisfies a condition weaker than Lipschitz ... See full document

13

Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

... of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with ... See full document

15

Existence of mild solutions for fractional evolution equations with nonlocal conditions

Existence of mild solutions for fractional evolution equations with nonlocal conditions

... nonlocal initial condition, in many cases, has much better effect in applications than the traditional initial ...nonlocal initial value problems can be more useful than the standard ... See full document

12

Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

... nonlinear fractional evolution equation is a general form for fractional ordinary dif- ferential equations, fractional partial differential equations, and fractional ... See full document

11

Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations

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 ... See full document

6

Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

... of fractional differential equations has been subjected to an intensive devel- opment of the theory and the applications (see, for example, [–] and the references ...on fractional calculus are de- ... See full document

8

Existence of the classical and strong solutions for fractional semilinear initial value problems

Existence of the classical and strong solutions for fractional semilinear initial value problems

... differential equations are important mathematical models of some practical problems in many fields such as polymer rheology, chemistry physics, heat conduction, fluid flows, electrical networks, and many other ... See full document

13

Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems

Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems

... the existence of solutions to boundary value problems (BVPs) ...the existence and uniqueness of solutions to coupled systems of multi-point boundary value ... See full document

12

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

... 1. Diethelm, K, Freed, AD: On the solutions of nonlinear fractional order differential equations used in the modelling of viscoplasticity. In: Keil F, Mackens W, Voss H, Werthers J (eds.) Scientific ... See full document

9

Existence and approximate solutions  for  hybrid fractional integro-differential equations

Existence and approximate solutions for hybrid fractional integro-differential equations

... the initial value problems of first order quadratic differential equa- tions with ordinary derivative wherein only existence of the solutions is proved using classical hybrid fixed ... See full document

10

Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces

Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces

... an evolution operator in the Banach space the function is real valued and locally integrable on into and let ...The Fractional differential equations have been studied with more interest by many ... See full document

5

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

... the initial value problems of fractional diffe- rential equations involving Riemann-Liouville differential operator ( 0 < < α 1 ) has been discussed by Lakshmikantham et ... See full document

12

Existence uniqueness of solutions for fuzzy nabla initial value problems on time scales

Existence uniqueness of solutions for fuzzy nabla initial value problems on time scales

... dynamic equations on time scales are found in [1, ...native solutions of linear dynamic equations on time scales and boundary value problems for dynamic equations on time scales ... See full document

11

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

... of fractional order differential equations in var- ious fields of sciences such as Engineering, Mathematics, Chemistry, etc [10, 11, 15– 17, 21], attracted the interest of many modern ...of fractional ... See full document

11

Some Uniqueness Results for Langevin Equations Involving Two Fractional Orders

Some Uniqueness Results for Langevin Equations Involving Two Fractional Orders

... of fractional differential equations, it is a natural generalization that the integral derivative of Langevin equation is replaced by fractional ...then, fractional Langevin equations ... See full document

14

Existence of positive mild solutions for a class of fractional evolution equations on the half line

Existence of positive mild solutions for a class of fractional evolution equations on the half line

... upper solutions, we present some new results on the existence of positive mild solutions for the abstract evolution equations of fractional ...abstract problems of ... See full document

14

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

... of fractional differential equations has become an important aspect of differential equations; see ...[1–8]. Fractional differential equations can describe many phenomena in various fields ... See full document

15

On decay and blow-up of solutions for a nonlinear beam equation with double damping terms

On decay and blow-up of solutions for a nonlinear beam equation with double damping terms

... In the present paper, we study the existence and uniqueness of the global weak solution for the initial boundary value problem (1.1)–(1.3). And then we focus on finding sufficient conditions ... See full document

17

On Cauchy problems  for fuzzy  differential equations

On Cauchy problems for fuzzy differential equations

... integral equations, existence and uniqueness theorems for the solutions of fuzzy initial value problems, drew upon the interest of many researchers of the fuzzy ... See full document

7

Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions

Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions

... the existence of symmetric solutions for or- dinary differential equation boundary value problems; for example, see [–] and the references ...the existence of symmetric ... See full document

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