Results 31 to 40 of about 1,548 (255)

THEORY OF FRACTIONAL IMPLICIT DIFFERENTIAL EQUATIONS WITH COMPLEX ORDER

Journal of Universal Mathematics, 2019
In this paper, we consider boundary value problems for the following nonlinear implicit differential equations with complex order D +x(t) = f t,x(t),D +x(t) , ? = m+i?, t ? J := [0,T],  ax(0)+bx(T) = c,where D + is the Caputo fractional derivative of order ? ? C. Let ? ? R , 0 < ? < 1, m ? (0,1], and f : J ×R ?
Elsayed ELSAYED, D. VİVEK, K. KANAGARAJAN   +2 more
openaire   +3 more sources

Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations

Journal of Function Spaces, 2023
In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators.
Mohammed S. Abdo, Sahar Ahmed Idris, Wedad Albalawi, Abdel‐Haleem Abdel‐Aty, Mohammed Zakarya, Emad E. Mahmoud   +5 more
openaire   +3 more sources

On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions

Advances in Difference Equations, 2021
In this paper, we consider two classes of boundary value problems for nonlinear implicit differential equations with nonlinear integral conditions involving Atangana–Baleanu–Caputo fractional derivatives of orders 0 < ϑ ≤ 1 ...
Mohammed S. Abdo, Thabet Abdeljawad, Saeed M. Ali, Kamal Shah   +3 more
doaj   +1 more source

Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative [PDF]

Complexity, 2020
In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are ...
Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Syed Omar Shah, Jiafa Xu   +4 more
openaire   +2 more sources

Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley   +1 more source

Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order

Moroccan Journal of Pure and Applied Analysis, 2015
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach
Benchohra Mouffak, Bouriah Soufyane
doaj   +1 more source

Heterotropic regulation and negative homotropic cooperativity

FEBS Open Bio, EarlyView.
We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea, Francesco Angelucci, Federica Arnesano, Gianmarco Pascarella, Patrizio Di Micco, Andrea Bellelli   +5 more
wiley   +1 more source

Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution

Fractal and Fractional, 2023
This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
doaj   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

Demonstratio Mathematica
This study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability.
El-Sayed Ahmed Mohamad, Al-Issa Shorouk Mahmoud, El Miari Maysaa Mohamad   +2 more
doaj   +1 more source