Results 31 to 40 of about 173,308,892 (93)

Investigating Mild Solutions for Noninstantaneous Impulsive Caputo Fractional Integro‐Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, the existence of mild solutions for a class of noninstantaneous impulsive Caputo fractional integro‐differential equations subject to nonlocal conditions in Banach spaces is investigated. The problem is formulated in a general infinite‐dimensional setting so that systems involving memory effects and impulses acting over finite intervals ...
Hasanen A. Hammad, Doha A. Kattan, Udhayakumar Ramalingam   +2 more
wiley   +1 more source

Existence and Approximate Solutions for Nonlinear Systems of Tripled‐Variable Fractional Singular Volterra Integral Equations Under Measure of Noncompactness

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work introduces an innovative analytical framework for studying finite systems of nonlinear tripled‐variable fractional singular Volterra integral equations in the Banach space. The investigation combines the technique of measures of noncompactness with fixed point theorem to establish new solvability criteria for highly nonlinear finite ...
Hasanen A. Hammad, Maryam G. Alshehri, Ramesh Kandala   +2 more
wiley   +1 more source

Existence Results for Generalized Bagley‐Torvik Type Fractional Differential Inclusions with Nonlocal Initial Conditions

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
In this article, we prove the existence of solutions for the generalized Bagley‐Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the nonlinear alternative for Kakutani maps fixed point theorem to obtain the existence results under ...
Lizhen Chen, Gang Li, Liguang Wang
wiley   +1 more source

On measure of noncompactness and application to global attractors of operator semigroups

, 2021
Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming, Fang, Quanqing, Cheng, Lixin, Ablet, Ehmet, Chen, Xiaoling   +4 more
core  

Existence of Hilfer fractional neutral stochastic differential systems with infinite delay

Қарағанды университетінің хабаршысы. Математика сериясы
The goal of this study is to propose the existence of mild solutions to delay fractional neutral stochastic differential systems with almost sectorial operators involving the Hilfer fractional (HF) derivative in Hilbert space, which generalized the ...
S. Sivasankar, R. Udhayakumar, V. Muthukumaran, G. Gokul, S. Al-Omari   +4 more
doaj   +1 more source

Optimal Controls of Second‐Order Delayed Differential Systems Governed by Clarke Subdifferential and History‐Dependent Hemivariational Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad, M. Basher, Manuel De la Sen, UDHAYAKUMAR Ramalingam   +3 more
wiley   +1 more source

Existence of the Mild Solution for Impulsive Semilinear Differential Equation

International Journal of Partial Differential Equations, Volume 2014, Issue 1, 2014., 2014
We study the existence of solutions of impulsive semilinear differential equation in a Banach space X in which impulsive condition is not instantaneous. We establish the existence of a mild solution by using the Hausdorff measure of noncompactness and a fixed point theorem for the convex power condensing operator.
Alka Chadha, Dwijendra N. Pandey, Yuri N. Skiba   +2 more
wiley   +1 more source

Existence of Compact Global Attractors for Autonomous Evolution Inclusions

, 2017
This paper is concentrate with the existence of a compact global attractor for the m-semiflow generated by the autonomous evolution inclusion. Since the lack of compactness of the evolution family, the main tool used in the paper is measure of ...
ZHU, Pengxian
core   +1 more source

On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral‐type Hölder space Jα,β. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami, Smritijit Sen   +3 more
wiley   +1 more source

Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions.
JinRong Wang, Ahmed G. Ibrahim, Henryk Hudzik   +2 more
wiley   +1 more source