Results 61 to 70 of about 1,548 (255)

Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies

Advances in Difference Equations, 2018
In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak
Saïd Abbas, Mouffak Benchohra, Naima Hamidi, Yong Zhou   +3 more
doaj   +1 more source

Increasing Inter‐Micellar Connectivity Toughens and Imparts Cooling‐Induced Shape Memory in Micellar Hydrogels

Advanced Functional Materials, EarlyView.
Oligomerizing Pluronic triblock copolymers provides a processing strategy for tuning the mechanical properties and stimuli‐responsive behaviors of micellar hydrogels. Varying oligomer fraction produces hydrogels spanning brittle to highly extensible responses; maintaining micellar architectures enables cooling‐induced reverse thermal shape memory and ...
Gourav Kumbhojkar, Eric Yang, Arman Moussavi, EunBi Oh, Haeji Kim, Wei Chen, Junsoo Kim, Sinan Keten, Ryan L. Truby   +8 more
wiley   +1 more source

Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations [PDF]

Complexity, 2018
We study the existence, uniqueness, and various kinds of Ulam–Hyers stability of the solutions to a nonlinear implicit type dynamical problem of impulsive fractional differential equations with nonlocal boundary conditions involving Caputo derivative. We develop conditions for uniqueness and existence by using the classical fixed point theorems such as
Naveed Ahmad, Zeeshan Ali, Kamal Shah, Akbar Zada, Ghaus ur Rahman   +4 more
openaire   +3 more sources

Cellular Responses to Mechanical Cues Across Scales: From Fundamental Insights to Translational Potential

Advanced Healthcare Materials, EarlyView.
This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz, Manuel P. Kainz, Niklas Haider, Theresa Rienmüller, Kerstin Lenk, Rupert Kargl, Michele Terzano, Gerhard Sommer, Gerhard A. Holzapfel, Julia Fuchs   +9 more
wiley   +1 more source

Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

Demonstratio Mathematica, 2019
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
Benchohra Mouffak, Bouriah Soufyane, Nieto Juan J.   +2 more
doaj   +1 more source

THE EXISTENCE OF SOLUTIONS FOR A NONLOCAL PROBLEM OF AN IMPLICIT FRACTIONAL-ORDER DIFFERENTIAL EQUATION [PDF]

Journal of the Egyptian Mathematical Society, 2018
Dans cet article, nous discutons de l'existence d'au moins une solution intégrale et aussi de l'unicité pour une équation fonctionnelle implicite d'ordre fractionnaire avec la dérivée fractionnaire de Riemann-Liouville. L'existence sera démontrée au moyen du théorème du point xed de Schauder et du principe de contraction de Banach.
openaire   +2 more sources

Multifunctional Catechol‐Functionalized Cellulose Hydrogels for the Minimally Invasive Treatment of Acute Optic Nerve Injuries

Advanced Healthcare Materials, EarlyView.
Catechol‐functionalized cellulose hydrogels are developed as injectable, bioadhesive platforms for retinal neuroprotection. The hydrogels exhibit tunable rheological and mechanical properties, strong tissue adhesion, and sustained antioxidative activity.
Kai‐Hsiang Chang, Yi‐Ke Lin, Wei‐Li Chen, Ta‐Ching Chen, Jiashing Yu   +4 more
wiley   +1 more source

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Partial Differential Equations in Applied Mathematics
This paper investigates nonlinear implicit fractional differential equations involving Hilfer-Katugampola fractional derivatives. Novel techniques are developed to establish the existence and uniqueness of solutions for the proposed problem using fixed ...
Rahman Ullah Khan, Ioan-Lucian Popa
doaj   +1 more source

Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

Advances in Difference Equations, 2018
In this paper, we study the periodic boundary value problems for the coupled systems of fractional implicit differential equations. Basing on the coincidence degree theory, we establish the existence and uniqueness theorems.
Wei Zhang, Wenbin Liu, Tingting Xue
doaj   +1 more source

Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative

Issues of Analysis, 2020
Motivated by the idea of implicit ordinary differential equations, in this work, authors consider a class of periodic boundary value problem for nonlinear implicit fractional differential equations. The derivative is taken in the sense of Hilfer fractional derivative.
M. A. Almalahi, M. S. Abdo, S. K. Panchal   +2 more
openaire   +3 more sources