Results 91 to 100 of about 2,240 (177)

Approximate Analytical Solutions of the Time‐Fractional Swift–Hohenberg Equation via Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study examines approximate analytical solutions of the time‐fractional Swift–Hohenberg equation involving the Caputo–Fabrizio fractional derivative. The main objective of this study is to investigate efficient analytical approximation techniques using the Yang transform Adomian decomposition method (YTADM).
Mustafa Ahmed Ali, Mehmet Merdan, Serbay Duran   +2 more
wiley   +1 more source

Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator [PDF]

, 2019
The present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the ...
Fatmawati, .-, Abdon Atangana, .-, Muhammad Altaf Khana, .-   +2 more
core  

A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator

, 2022
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 important preventable cause of disease and the third major cause of
Mati ur Rahman, Ramsha Shafqat, Ioannis E. Sarris, Yasir Nadeem Anjam, Muhammad Arshad, Sajida Touseef   +5 more
core   +1 more source

Novel Recursive Approximation for Fractional Nonlinear Equations within Caputo-Fabrizio Operator

, 2018
This study displays a novel method for solving time-fractional nonlinear partial differential equations. The suggested method namely Laplace homotopy method (LHM) is considered with Caputo-Fabrizio fractional derivative operator.
Mehmet Yavuz, Yavuz, Mehmet, Yavuz Mehmet   +2 more
core   +1 more source

Non-Integer order calculation applied in Quantum Mechanics: Particle in a one-dimensional finite well

Nova Scientia
Fractional calculus is becoming increasingly important nowadays in studying and understanding fundamental physical phenomena, both simple and complex, through the formulation of generalized models.
Joel Elías Escudero-Gómez, Ernesto Alejandro Mendoza Álvarez, Guillermo Fernández Anaya, José Job Flores-Godoy , Leo Diago Cisneros   +4 more
doaj   +1 more source

Dengue Transmission Dynamics: A Fractional-Order Approach with Compartmental Modeling

Fractal and Fractional
This work presents a quantitative analysis of the transmission dynamics of dengue using the Caputo–Fabrizio fractional-order derivative. It presents an extensive framework for modeling a dengue epidemic, including the various stages of infection and ...
Mutum Zico Meetei, Shahbaz Zafar, Abdullah A. Zaagan, Ali M. Mahnashi, Muhammad Idrees   +4 more
doaj   +1 more source

Fractional Calculus Approach for Variational Problems: Characterization of Sufficient Optimality Conditions and Duality

Partial Differential Equations in Applied Mathematics
In this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational problems (VPs) with ...
Ved Prakash Dubey, Devendra Kumar, Jagdev Singh, Dumitru Baleanu   +3 more
doaj   +1 more source

A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative

, 2018
In this work we obtain a Lyapunov-type inequality for a fractional differential equation with Caputo-Fabrizio operator subject to Dirichlet-type boundary conditions.
Kirane, Mokhtar, Torebek, Berikbol, Mokhtar Kirane, Berikbol T. Torebek   +3 more
core   +1 more source

The Chain Rule for Fractional-Order Derivatives: Theories, Challenges, and Unifying Directions

AppliedMath
The chain rule is a foundational concept in calculus, critical for differentiating composite functions, especially those appearing in modern AI techniques.
Sroor M. Elnady, Mohamed A. El-Beltagy, Mohammed E. Fouda, Ahmed G. Radwan   +3 more
doaj   +1 more source

Optimization of parameters for image denoising algorithm pertaining to generalized Caputo-Fabrizio fractional operator

EURASIP Journal on Image and Video Processing
Abstract The aim of the present paper is to optimize the values of different parameters related to the image denoising algorithm involving Caputo Fabrizio fractional integral operator of non-singular type with the Mittag-Leffler function in generalized form. The algorithm aims to find the coefficients of a kernel to remove the noise from images.
S. Gaur, A. M. Khan, Daya Lal Suthar
openaire   +2 more sources