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On a new class of impulsive fractional evolution equations

On a new class of impulsive fractional evolution equations

... differential equations of integer order have found extensive applications in realistic mathematical modeling of a wide variety of practical situations, such as biolog- ical phenomena involving thresholds, bursting ... See full document

16

New concepts of fractional quantum calculus and applications to impulsive fractional q difference equations

New concepts of fractional quantum calculus and applications to impulsive fractional q difference equations

... define new concepts of fractional quantum calculus by defining a new q-shifting ...q-integral. New definitions of Riemann-Liouville fractional q-integral and q-difference on an interval [a, ... See full document

19

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

... a class of multi-term time-fractional impulsive integro-differential equations with state dependent delay subject to some fractional order integral boundary ... See full document

11

Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations

Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations

... For convenience of the reader, we present here the necessary definitions from fractional calculus theory. These definitions and properties can be found in the literature [, , ]. Definition . The ... See full document

19

On mixed boundary value problem of impulsive semilinear evolution equations of fractional order

On mixed boundary value problem of impulsive semilinear evolution equations of fractional order

... This article studies the existence and uniqueness of solutions for impulsive semi- linear evolution equations of fractional order a Î (1, 2] with mixed boundary conditions. Some standard fixed ... See full document

8

Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

... Differential equations of fractional order have been attracted the attention of researchers in the last few ...that fractional order derivatives provide power tools for the description of memory and ... See full document

21

Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

... pulsive fractional evolution equations with nonlocal initial conditions by using the mono- tone iterative technique in the presence of lower and upper ...differential equations with various ... See full document

12

Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions

Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions

... The rest of this paper is organized as follows. In Section , some preliminaries are given on the fractional power of the generator of an analytic semigroup and the frac- tional calculus. In Section , we study ... See full document

16

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

... 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 ...some new results on ... See full document

14

A note on stability of impulsive differential equations

A note on stability of impulsive differential equations

... of evolution processes completely in ...a new model to describe such an evolution pro- ...a new impulsive action, which starts at an arbitrary fixed point and keeps active on a finite ... See full document

8

On new evolution of Ri’s result via w distances and the study on the solution for nonlinear integral equations and fractional differential equations

On new evolution of Ri’s result via w distances and the study on the solution for nonlinear integral equations and fractional differential equations

... differential equations of Caputo type, we introduced a new contractive condition by using the idea of a w-distance in metric spaces and established fixed point results for a mapping satisfying the purposed ... See full document

15

Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half line

Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half line

... the fractional differential equations () and () with nonlocal conditions on the unbounded ...some new results on the existence of positive mild solutions for the abstract fractional ... See full document

17

On existence of BVP’s for impulsive fractional differential equations

On existence of BVP’s for impulsive fractional differential equations

... of fractional differential equations have attracted the at- tention of many ...authors. Fractional differential equations are used in mathematical mod- elling, engineering, biology, chemistry, ... See full document

16

A general class of periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces

A general class of periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces

... of impulsive differential equations has lately years been an object of increasing interest because of its vast applicability in several fields including mechanics, electrical engineering, biology, medicine, ... See full document

13

About periodicity of impulsive evolution equations through fixed point theory

About periodicity of impulsive evolution equations through fixed point theory

... Although there have been many papers on periodic solutions of periodic system in finite or infinite dimensional spaces, to our knowledge,impulsive periodic systems in infinite dimensional spaces (with unbounded ... See full document

16

Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions

Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions

... differential equations with impulsive conditions have been considered extensively in the literature, but in the case of non-integer order differential equations the problems still need further ... See full document

27

Impulsive initial value problems for a class of implicit fractional differential equations

Impulsive initial value problems for a class of implicit fractional differential equations

... and impulsive initial value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative were obtained using Banach’s contraction ... See full document

14

Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions

Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions

... therein), fractional calculus has received in- creasing ...of fractional differential equation has received attention of many authors (see ...of fractional differential ... See full document

12

Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions

Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions

... a new class of neutral nonlocal control systems with infinite delay and establish sufficient conditions for the controlla- bility of the system () by relying on a measure of noncompactness and the Mönch fixed ... See full document

22

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

... differential equations has been generalized to stochastic ...stochastic evolution equations have recently received a lot of attention (see [13, 17, 28] and the references ...differential ... See full document

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