Optical solitons of space-time fractional Fokas–Lenells equation with two versatile integration architectures

N Raza, MS Osman, AH Abdel-Aty… - Advances in Difference …, 2020 - Springer
Nonlinear Schrödinger's equation and its variation structures assume a significant job in
soliton dynamics. The soliton solutions of space-time fractional Fokas–Lenells equation with …

A fractional order investigation of smoking model using Caputo-Fabrizio differential operator

YN Anjam, R Shafqat, IE Sarris, M Ur Rahman… - Fractal and …, 2022 - mdpi.com
Smoking is a social trend that is prevalent around the world, particularly in places of learning
and at some significant events. The World Health Organization defines smoking as the most …

Oblique explicit wave solutions of the fractional biological population (BP) and equal width (EW) models

AH Abdel-Aty, MMA Khater, D Baleanu… - Advances in Difference …, 2020 - Springer
This research uses the extended exp-(− φ (ϑ)) (-φ(ϑ))-expansion and the Jacobi elliptical
function methods to obtain a fashionable explicit format for solutions to the fragmented …

On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions

A Nosheen, M Tariq, KA Khan, NA Shah… - Fractal and Fractional, 2023 - mdpi.com
This paper contains a variety of new integral inequalities for (s, m)-convex functions using
Caputo fractional derivatives and Caputo–Fabrizio integral operators. Various …

Application of fractional-order calculus to improve the mathematical model of a two-mass system with a long shaft

A Lozynskyy, A Chaban, T Perzyński, A Szafraniec… - Energies, 2021 - mdpi.com
Based on the general theory of fractional order derivatives and integrals, application of the
Caputo–Fabrizio operator is analyzed to improve a mathematical model of a two-mass …

[HTML][HTML] On the interaction between (low & high) frequency of (ion-acoustic & Langmuir) waves in plasma via some recent computational schemes

MMA Khater, RAM Attia, EE Mahmoud, AH Abdel-Aty… - Results in Physics, 2020 - Elsevier
Applying several latest theoretical techniques, the empirical description of the interaction
between the high-frequency Langmuir and the low-frequent ion-acoustic waves, derived …

[HTML][HTML] Solution of third order linear and nonlinear boundary value problems of integro-differential equations using Haar wavelet method

MM Alqarni, R Amin, K Shah, S Nazir, M Awais… - Results in Physics, 2021 - Elsevier
In this paper, numerical solution of third order integro-differential equation with boundary
conditions is given utilizing Haar collocation technique. Both nonlinear and linear integro …

ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO--FABRIZIO DERIVATIVE.

KO MELHA, M DJILALI… - Fractional Differential …, 2023 - search.ebscohost.com
The main objective of this paper is to prove the existence and uniqueness of mild solution for
abstract differential equations by using the resolvent operators and fixed point theorem …

[HTML][HTML] AVR Fractional-Order Controller Based on Caputo–Fabrizio Fractional Derivatives and Integral Operators

A Lozynskyy, J Kozyra, A Kutsyk, Z Łukasik… - Energies, 2024 - mdpi.com
The application of a fractional-order controller (FOC) using the Caputo–Fabrizio
representation in the automatic voltage regulation (AVR) system of a synchronous generator …

Hilbert-type inequalities for time scale nabla calculus

HM Rezk, G AlNemer, HA Abd El-Hamid… - Advances in Difference …, 2020 - Springer
This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time
scale nabla calculus. In proving the results, the basic idea is to use some algebraic …