Results 11 to 20 of about 2,240 (177)
A new numerical solution of the competition model among bank data in Caputo-Fabrizio derivative [PDF]
AEJ - Alexandria Engineering Journal, 2020 A new numerical scheme for the Caputo-Fabrizio operator is proposed. We initially present a bank model with real data and then present the model in the fractional Caputo-Fabrizio derivative.
, Fatmawati
exaly +5 more sources
Certain fractional inequalities via the Caputo Fabrizio operator [PDF]
Filomat, 2023 The Caputo Fabrizio fractional integral operator is one of the key concepts in fractional calculus. It is involved in many concrete and practical issues. In the present study, we have discussed some novel ideas to fractional Hermite-Hadamard inequalities within a Caputo Fabrizio fractional integral framework.
Qaisar, Shahid +2 more
core +4 more sources
Mathematical modelling of membrane oscillatory processes in a nonlinear viscoelastic medium via the Caputo-Fabrizio fractional operator [PDF]
Scientific ReportsThis paper addresses the mathematical modelling of transient processes in a steel membrane oscillating in a nonlinear viscoelastic isotropic medium. For this purpose, three types of mathematical models of the object under study with different degrees of ...
Andriy Chaban +5 more
doaj +3 more sources
On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
doaj +2 more sources
Three-Species Lotka-Volterra Model with Respect to Caputo and Caputo-Fabrizio Fractional Operators [PDF]
Symmetry, 2021 In this paper, we apply the concept of fractional calculus to study three-dimensional Lotka-Volterra differential equations. We incorporate the Caputo-Fabrizio fractional derivative into this model and investigate the existence of a solution. We discuss the uniqueness of the solution and determine under what conditions the model offers a unique ...
Moein Khalighi +3 more
core +5 more sources
New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator [PDF]
AIMS Mathematics, 2022 <abstract><p>It's undeniably true that fractional calculus has been the focus point for numerous researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator has been on many demonstrating and real-life issues.
Muhammad Tariq +5 more
core +6 more sources
Boundary Value Problems, 2017 By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu +2 more
doaj +2 more sources
Fractal and Fractional, 2022 This paper studies the existence of extremal solutions for a nonlinear boundary value problem of Bagley–Torvik differential equations involving the Caputo–Fabrizio-type fractional differential operator with a non-singular kernel.
Haiyong Xu, Lihong Zhang, Guotao Wang
doaj +2 more sources
Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator [PDF]
Journal of Function Spaces, 2021 This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the given models.
Fatemah Mofarreh +5 more
openaire +4 more sources
Journal of Mathematics, 2020 The theory of convex functions plays an important role in engineering and applied mathematics. The Caputo–Fabrizio fractional derivatives are one of the important notions of fractional calculus.
Xiaobin Wang +4 more
doaj +2 more sources