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[PDF] Top 20 Analysis of a class of nonlinear fractional differential models generated by impulsive effects

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Analysis of a class of nonlinear fractional differential models generated by impulsive effects

Analysis of a class of nonlinear fractional differential models generated by impulsive effects

... so-called fractional Sobolev space E  α, is compactly em- bedded into C([, T], ...a fractional-type Sobolev ...following impulsive fractional Dirichlet boundary value ... See full document

18

Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects

Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects

... hand, impulsive boundary value problems for differential equations have become an important area of investigation in recent ...of nonlinear analysis as topological methods have been ap- plied to study ... See full document

16

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

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

... of fractional calculus has received remarkable consideration from the researchers of widespread fields of science and engineering due its applicability of de- scribing the hereditary and memory effect of numerous ... See full document

14

Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems

Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems

... for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...a class of nonlinear impulsive functional differential equations with anti-periodic ... See full document

11

Existence of A New Class of Impulsive Riemann-Liouville Fractional Partial Neutral Functional Differential Equations with Infinite Delay

Existence of A New Class of Impulsive Riemann-Liouville Fractional Partial Neutral Functional Differential Equations with Infinite Delay

... an impulsive action which starts abruptly and stays active on a finite time ...a class of first order semi- linear abstract impulsive differential equations with not in- stantaneous impulses ... See full document

13

On positive solutions for a class of singular nonlinear fractional differential equations

On positive solutions for a class of singular nonlinear fractional differential equations

... decades, fractional-order models are found to be more adequate than integer-order models for some real world ...of nonlinear initial fractional differential equations by the use of ... See full document

11

Approximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces

Approximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces

... realistic models can be described as partial fractional differential or integro- differential inclusions (see [38], [39], [40] and references therein), so it is natural to extend the concept ... See full document

14

Controllability of nonlinear neutral fractional impulsive differential inclusions in Banach space

Controllability of nonlinear neutral fractional impulsive differential inclusions in Banach space

... semilinear fractional evolution equations via a compact semigroup in Banach ...of nonlinear fractional impulsive evolution ...a class of Sobolev type semilinear fractional ... See full document

17

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

... of nonlinear analysis and classical fixed point theory, we have developed adequate conditions under which the proposed class of implicit impulsive FODEs has at least one ...the nonlinear ... See full document

21

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

... a class of nonlinear impulsive boundary value problem of fractional order differential ...of nonlinear functional analysis, we investigate Ulam–Hyers stability results to the ... See full document

27

Solvability for a class of nonlinear Hadamard fractional differential equations with parameters

Solvability for a class of nonlinear Hadamard fractional differential equations with parameters

... another fractional derivative, which differs from the above-mentioned ones because its definition involves logarithmic function of arbitrary exponent and named the Hadamard ...type fractional differential ... See full document

23

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

... of nonlinear fractional differential equations have been addressed by several ...researchers. Fractional differential equations arise in many en- gineering and scientific disciplines as the mathematical ... See full document

11

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

... nonlocal impulsive differential inclusions with delay and of fractional order in Caputo sense in Banach ...Keywords: Fractional Differential Inclusions; Impulsive Semilinear ... See full document

17

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

... with fractional order as models in more and more fields of science and engineering makes it necessary to study the qualita- tive theory of such equations, and we hope that our work could make some ... See full document

11

Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three point boundary conditions

Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three point boundary conditions

... The rest of the paper is organized as follows. In Section , we state some basic concepts, notations and preliminary results about fractional calculus. In Section , we present the definition of solution for ... See full document

14

Some existence results for nonlinear fractional differential equations with impulsive and fractional integral boundary conditions

Some existence results for nonlinear fractional differential equations with impulsive and fractional integral boundary conditions

... of fractional differential equations with integral boundary ...of nonlinear fractional differential equations with three-point integral boundary conditions given ... See full document

10

Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

... We consider the multiplicity of positive solutions (PSs) for a coupled system involving nonlinear impulsive fractional differential equations with parameters. By employing the classical ... See full document

13

Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term

Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term

... a class of nonlinear fractional differential equations with nonlinear damping ...certain fractional differential equations can be turned into an- other ordinary ... See full document

6

Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators

Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators

... In this work, our work is spurred by the works [4]-[7], [14], [17], [21]-[22] to establish some existence results for the system (1.1)-(1.3) by using measure of noncompactness and resolvent operator. The tool of measure ... See full document

12

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

... of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently appears in various fields such as physics, chemistry, biology, ... See full document

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