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[PDF] Top 20 Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations

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Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations

Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations

... the existence and uniqueness of solutions for various equations, including ordinary differential equations, partial differential equa- tions, functional differential equations, and ... See full document

21

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

Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions

Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions

... the existence, nonexistence, uniqueness, and multiplicity of positive solutions for a class of eigenvalue problems of nonlinear fractional differential equations with a nonlinear ... See full document

23

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

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

15

Existence and uniqueness of solution for a class of nonlinear fractional differential equations

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 solution for class of fractional order differential equations on an unbounded domain

Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain

... find solutions to the initial value problem (2) with some conditions on f (t, x) and on the range of function F so that this solution is unique on unbounded domain [0, ... See full document

8

Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces

Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces

... upper solutions to discuss the existence and uniqueness of periodic solutions for a class of fractional differential equations in an ordered Banach space ...the ... See full document

14

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

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 results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

... the existence and uniqueness of solutions for a class of multi-term time-fractional impulsive integro-differential equations with state dependent delay subject to some ... See full document

11

Fixed point theorems for the sum of three classes of mixed monotone operators and applications

Fixed point theorems for the sum of three classes of mixed monotone operators and applications

... the existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations with integral boundary ... See full document

22

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

... 1. Diethelm, K, Freed, AD: On the solution of nonlinear fractional order differential equations used in the modeling of viscoelasticity. In: Keil, F, Machens, W, Voss, H, Werther, J (eds.) Scientific ... See full document

11

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

... differential equations with impulsive conditions constitute an im- portant field of research due to their numerous applications in ecology, medicine biology, electrical engineering and other areas of ...impulsive ... See full document

16

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 existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional ... See full document

12

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

... the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are ... See full document

19

Existence and Uniqueness of Solutions to Impulsive Fractional Integro Differential Equations with Nonlocal Conditions

Existence and Uniqueness of Solutions to Impulsive Fractional Integro Differential Equations with Nonlocal Conditions

... Nonlocal conditions were initiated by Byszewski [22] who proved the existence and uniqueness of mild and classical solutions of nonlocal Cauchy problems. As re- marked by Byszewski [23,24], the ... See full document

5

Existence and uniqueness for a class of iterative fractional differential equations

Existence and uniqueness for a class of iterative fractional differential equations

... the existence and uniqueness of solutions for general iterative fractional differential ...the existence and uniqueness of solutions for the initial value ... See full document

13

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

... The fractional calculus was bounded up with fractional integrals obtained by iterating an integral to get the nth order integral and then replacing n by any number, and then by using the classical method ... See full document

13

Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

... the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this ... See full document

16

Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations

Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations

... H  H  that completely deter- mines asymptotic behavior of solutions to the strongly damped nonlinear wave equations. In [4] Chueshov pre- sented the approach of a set of determining functionals containing ... See full document

7

Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces

Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces

... The Fractional differential equations have been studied with more interest by many authors [8, 12, 14, 15, 16, 17, 18, 20, 22, 25] in the recent times as they effectively describe many phenomena arising in ... See full document

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