Fractional Evolution Equations with Infinite Time Delay in Abstract Phase Space

Fractional Evolution Equations with Infinite Time Delay in Abstract Phase Space

In the presented research, the uniqueness and existence of a mild solution for a fractional system of semilinear evolution equations with infinite delay and an infinitesimal generator operator are demonstrated. The generalized Liouville–Caputo derivative of non-integer-order <inline-formula>&l...

Full description

Bibliographic Details
Main Authors:	Ahmed Salem, Kholoud N. Alharbi, Hashim M. Alshehri
Format:	Article
Language:	English
Published:	MDPI AG 2022-04-01
Series:	Mathematics
Subjects:	generalized Liouville–Caputo fractional derivative <i>ρ</i>-Laplace transformation infinite time delay mild solution Leray–Schauder alternative
Online Access:	https://www.mdpi.com/2227-7390/10/8/1332

Similar Items

Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses
by: Ahmed Salem, et al.
Published: (2023-05-01)

Fractional infinite time-delay evolution equations with non-instantaneous impulsive
by: Ahmed Salem, et al.
Published: (2023-03-01)

Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative
by: Ahmed Salem, et al.
Published: (2022-01-01)

Controllability for Fractional Evolution Equations with Infinite Time-Delay and Non-Local Conditions in Compact and Noncompact Cases
by: Ahmed Salem, et al.
Published: (2023-03-01)

Novel analysis of nonlinear dynamics of a fractional model for tuberculosis disease via the generalized Caputo fractional derivative operator (case study of Nigeria)
by: Saima Rashid, et al.
Published: (2022-03-01)

Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay
by: Norouzi Fatemeh, et al.
Published: (2021-04-01)

Involvement of the fixed point technique for solving a fractional differential system
by: Hasanen A. Hammad, et al.
Published: (2022-01-01)

A modified Laplace transform for certain generalized fractional operators
by: Fahd Jarad, Thabet Abdeljawad
Published: (2018-08-01)

On a fractional Caputo–Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators
by: Sina Etemad, et al.
Published: (2020-06-01)

Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations
by: Ahmed Salem, et al.
Published: (2023-05-01)

Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions
by: Yuan Ma, et al.
Published: (2022-09-01)

Existence and Uniqueness Results for Fractional (<i>p</i>, <i>q</i>)-Difference Equations with Separated Boundary Conditions
by: Pheak Neang, et al.
Published: (2022-02-01)

Existence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay
by: Haiping Ye, et al.
Published: (2012-08-01)

Results for Mild solution of fractional coupled hybrid boundary value problems
by: Baleanu Dumitru, et al.
Published: (2015-09-01)

The Comparative Study for Solving Fractional-Order Fornberg–Whitham Equation via <i>ρ</i>-Laplace Transform
by: Pongsakorn Sunthrayuth, et al.
Published: (2021-05-01)

Nonlocal Boundary Value Problems of Nonlinear Fractional (<i>p</i>,<i>q</i>)-Difference Equations
by: Pheak Neang, et al.
Published: (2021-12-01)

On solutions of a class of three-point fractional boundary value problems
by: Zhanbing Bai, et al.
Published: (2020-01-01)

Existence and uniqueness of solutions for fractional neutral Volterra-Fredholm integro differential equations
by: Ahmed A. Hamoud
Published: (2020-11-01)

A Numerical Solution and Comparative Study of the Symmetric Rossler Attractor with the Generalized Caputo Fractional Derivative via Two Different Methods
by: Mohamed Elbadri, et al.
Published: (2023-07-01)

Controllability of fractional order integro-differential inclusions with infinite delay
by: Khalida Aissani, et al.
Published: (2014-11-01)

On the Initial Value Problems for Caputo-Type Generalized Proportional Vector-Order Fractional Differential Equations
by: Mohamed I. Abbas, et al.
Published: (2021-10-01)

The existence and exponential stability of random impulsive fractional differential equations
by: Suping Zhang, et al.
Published: (2018-11-01)

Uniqueness and existence of positive solutions for singular fractional differential equations
by: Nemat Nyamoradi, et al.
Published: (2014-06-01)

Nonlinear fractional differential equations and inclusions of arbitrary order and multi-strip boundary conditions
by: Bashir Ahmad, et al.
Published: (2012-06-01)

Existence and Hyers–Ulam Stability for a Multi-Term Fractional Differential Equation with Infinite Delay
by: Chen Chen, et al.
Published: (2022-03-01)

An existence result for fractional differential equations of neutral type with infinite delay
by: Fang Li
Published: (2011-07-01)

On solvability of BVP for a coupled Hadamard fractional systems involving fractional derivative impulses
by: Hui Huang, et al.
Published: (2022-08-01)

Existence of solutions to singular fractional differential systems with impulses
by: Xingyuan Liu, et al.
Published: (2012-11-01)

A study on the mild solution of special random impulsive fractional differential equations
by: Sayooj Aby Jose, et al.
Published: (2022-12-01)

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses
by: Abdellatif Benchaib, et al.
Published: (2023-08-01)

Fractional partial random differential equations with infinite delay
by: Amel Heris, et al.
Published: (2022-06-01)

Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval
by: Chandrabose Sindhu Varun Bose, et al.
Published: (2023-09-01)

Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations
by: Junfei Cao, et al.
Published: (2019-09-01)

Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses
by: Kaihong Zhao, et al.
Published: (2019-06-01)

Existence of positive solutions for a singular third-order two-point boundary value problem on the half-line
by: Yongdong Bao, et al.
Published: (2022-07-01)

Well-posedness of stochastic time fractional 2D-Stokes models with finite and infinite delay
by: Jiaohui Xu, et al.
Published: (2022-12-01)

Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations
by: Kui Liu, et al.
Published: (2020-06-01)

Existence of solutions in the alpha-norm for partial functional differential equations with infinite delay
by: Khalil Ezzinbi, et al.
Published: (2012-08-01)

The Analysis of Fractional-Order Kersten–Krasil Shchik Coupled KdV System, via a New Integral Transform
by: Nehad Ali Shah, et al.
Published: (2021-08-01)

Existence of periodic solutions of pendulum-like ordinary and functional differential equations
by: László Hatvani
Published: (2020-12-01)