4.0 Article

Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain

Related references

Note: Only part of the references are listed.
Article Engineering, Multidisciplinary

Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump

Yousef Alnafisah et al.

Summary: This paper investigates the sufficient conditions for null controllability of noninstantaneous impulsive Hilfer fractional stochastic integrodifferential system with the Rosenblatt process and Poisson jump. The required results are obtained based on fractional calculus, stochastic analysis, and Sadovskii's fixed point theorem. Finally, an example is given to illustrate the obtained results.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2023)

Article Mathematics, Applied

Controllability of coupled systems for impulsive φ-Hilfer fractional integro-differential inclusions

A. Boudjerida et al.

Summary: This paper studies the controllability of a coupled system for a class of impulsive fractional integro-differential inclusions involving phi-Hilfer fractional derivative and subject to coupled nonlocal integral initial conditions in the case of convex set-valued maps. Some auxiliary conditions are introduced in order to apply a fixed point theorem due to Bohnenblust-Karlin. An illustrative example is provided to demonstrate the theoretical results.

APPLICABLE ANALYSIS (2022)

Article Mathematics, Applied

Controllability of impulsive fractional functional evolution equations with infinite state-dependent delay in Banach spaces

Djihad Aimene et al.

Summary: This paper studies the controllability of an impulsive fractional differential equation with infinite state-dependent delay in an arbitrary Banach space, utilizing semigroup theory and Schaefer fixed point theorem. An example is included to illustrate the theory.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021)

Article Engineering, Multidisciplinary

Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps

Hamdy M. Ahmed et al.

Summary: The paper introduces a mild solution for a new class of noninstantaneous and nonlocal impulsive Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps. The existence of the mild solution is derived using fractional calculus, stochastic analysis, and Sadovskii's fixed point theorem for the considered system. An example is provided to demonstrate the applicability of the obtained theory.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2021)

Article Automation & Control Systems

Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces

S. Arora et al.

Summary: In this paper, the approximate controllability of non-autonomous semilinear impulsive differential equations with state-dependent delay is considered in a separable reflexive Banach space with a uniformly convex dual. Sufficient conditions are established using the theory of linear evolution systems, properties of the resolvent operator, and Schauder's fixed point theorem, and two concrete examples are provided to validate the results.

NONLINEAR ANALYSIS-HYBRID SYSTEMS (2021)

Article Mathematics, Interdisciplinary Applications

Approximate controllability of hybrid Hilfer fractional differential inclusions with non-instantaneous impulses

Assia Boudjerida et al.

Summary: This paper discusses the approximate controllability of a class of non-instantaneous impulsive hybrid systems under Hilfer derivative, using a family of general fractional resolvent operators to obtain a proper form of the mild solution, and improving and extending important results through Laplace transform.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Applied

Controllability Results for Non Densely Defined Impulsive Fractional Differential Equations in Abstract Space

Ashish Kumar et al.

Summary: In this paper, controllability results for non-densely defined impulsive fractional differential equation were studied using the concepts of semigroup theory, fractional calculus, and Banach Fixed Point Theorem. An example was also discussed to illustrate the obtained results.

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (2021)

Article Mathematics, Applied

Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain

Vikram Singh

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2019)

Article Automation & Control Systems

Existence and Controllability for Impulsive Evolution Inclusions without Compactness

Yong Zhou et al.

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS (2018)

Article Mathematics, Applied

On the Psi-Hilfer fractional derivative

J. Vanterler da C. Sousa et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2018)

Article Mathematics, Applied

Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions

JinRong Wang et al.

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS (2018)

Article Mathematics, Applied

Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions

JinRong Wang et al.

NONLINEAR ANALYSIS-MODELLING AND CONTROL (2018)

Article Mathematics, Applied

Solvability and optimal controls of fractional delay evolution inclusions with Clarke subdifferential

Yi-rong Jiang et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2017)

Article Mathematics, Applied

Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions

Min Yang et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2017)

Article Mathematics, Applied

A SURVEY ON IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

JinRong Wang et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2016)

Article Mathematics, Applied

Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions

Amar Debbouche et al.

APPLIED MATHEMATICS AND COMPUTATION (2014)

Article Operations Research & Management Science

On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces

Zhenhai Liu et al.

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2013)

Article Mathematics

On a new class of abstract impulsive differential equations

Eduardo Hernández et al.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2012)

Article Physics, Mathematical

APPROXIMATE CONTROLLABILITY OF FRACTIONAL NEUTRAL STOCHASTIC SYSTEM WITH INFINITE DELAY

R. Sakthivel et al.

REPORTS ON MATHEMATICAL PHYSICS (2012)