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[PDF] Top 20 Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

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Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

... The layout of the rest of the article is listed now. In Sect. 2, fractional derivative, frac- tional integral and several useful preliminaries are introduced. In Sect. 3, our main conclu- sions are presented by ... See full document

13

Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations

Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations

... of fractional evolution equations”, Chaos, Solitons and Fractals, ...stochastic fractional integrodifferential equations”, Advances in Dynamical Systems and Applications, ... See full document

6

Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions

Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions

... the fractional evolution equations is how to obtain the suitable fractional resolvent family generated by the infinitesimal generator A in Banach ...Riemann-Liouville fractional ... See full document

21

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

... for fractional evolution equations have been investigated by many ...different fractional evolution ...of fractional evolution equations con- sidered in some ... 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

... the existence of positive mild solutions for the abstract fractional evolution equations ...of fractional order on unbounded ... See full document

15

Mild solutions of fractional evolution equations on an unbounded interval

Mild solutions of fractional evolution equations on an unbounded interval

... bounded interval. On the other hand, research on mild solutions on an unbounded inter- val of the integer order evolution equations could be found in papers [, ] and the ref- erences ... See full document

10

On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness

On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness

... the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded ...the existence of S-asymptotically ω ... See full document

23

Existence of mild solutions for fractional evolution equations with nonlocal conditions

Existence of mild solutions for fractional evolution equations with nonlocal conditions

... the fractional power of the generator of an analytic semigroup and on the mild solutions of ...the existence and uniqueness of mild solutions of ... See full document

12

The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)

The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)

... linear fractional evolution ...the existence and uniqueness results of positive mild solutions are obtained by using the monotone iterative ... See full document

15

Existence results for fractional differential equations with infinite delay and interval impulsive conditions

Existence results for fractional differential equations with infinite delay and interval impulsive conditions

... differential equations has attracted a great deal of attention in fractional dynamics and its theory has been treated in several works [5], ...non-linear fractional integro differential ... See full document

8

Existence and uniqueness results for fractional differential equations with uncertainty

Existence and uniqueness results for fractional differential equations with uncertainty

... investigate fractional differential equation) to fuzzy field such that these extensions have natural re- lationship between crisp and fuzzy cases and even have a natural relation between fuzzy fractional and ... See full document

12

Existence and uniqueness for a class of iterative fractional differential equations

Existence and uniqueness for a class of iterative fractional differential equations

... orders. Fractional derivatives are considered excellent tools for the description of ...nonlinearity. Fractional derivatives are mainly used with classical integer order patterns, in which such effects are ... 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

... and uniqueness of nontrivial solutions for the higher nonlocal fractional differential equations ...involve fractional derivatives of unknown ... See full document

16

Existence and uniqueness of positive solutions for fractional differential equations

Existence and uniqueness of positive solutions for fractional differential equations

... differential equations have gained considerable importance due to their applica- tions in various sciences such as physics, mechanics, chemistry, engineering, ...tial equations involving fractional ... See full document

11

Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations

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

On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition

On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition

... 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 485 2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486 3 Fractional ... See full document

7

Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces

Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces

... some existence theorems are obtained by using a Krasnoselskii type fixed point ...the existence of solutions for nonlinear frac- tional evolution equations with the nonlocal initial ... See full document

10

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

... differential equations, see for example, mathematical models for bacterial self-regularization ...Hadamard fractional integrals can jointly be represented by a single integral, which is called generalized ... See full document

17

Vol 2, No 10 (2011)

Vol 2, No 10 (2011)

... nonlinear fractional order differential equations used in the modelling of viscoplasticity, in “Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and ... See full document

8

Fractional neutral evolution equations with nonlocal conditions

Fractional neutral evolution equations with nonlocal conditions

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

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