Results 41 to 50 of about 3,823 (242)
A Study of Positivity Analysis for Difference Operators in the Liouville–Caputo Setting
Symmetry, 2023 The class of symmetric function interacts extensively with other types of functions. One of these is the class of positivity of functions, which is closely related to the theory of symmetry. Here, we propose a positive analysis technique to analyse a class of Liouville–Caputo difference equations of fractional-order with extremal conditions.
Hari Mohan Srivastava +5 more
openaire +1 more source
ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order 𝛼 has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple
openaire +1 more source
Modelling and analysis tuberculosis (TB) model with hybrid fractional operator
Alexandria Engineering Journal, 2023 In this work, we aim to propose a hybrid fractional-order model for investigation and observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) operator.
Muhammad Farman +2 more
doaj +1 more source
CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM
Fractals, 2021 In our research work, we develop the analysis of a noninteger-order model for hepatitis B (HBV) under singular type Caputo fractional-order derivative. We investigated our proposed system for an approximate or semi-analytical solution using Laplace transform along with decomposition techniques by Adomian polynomial of nonlinear terms and some ...
Din, Anwarud +3 more
openaire +2 more sources
Stochastic applications of Caputo-type convolution operators with nonsingular kernels [PDF]
Stochastic Analysis and Applications, 2022 We consider here convolution operators, in the Caputo sense, with non-singular kernels. We prove that the solutions to some integro-differential equations with such operators (acting on the space variable) coincide with the transition densities of a particular class of Lévy subordinators (i.e. compound Poisson processes with non-negative jumps).
Beghin L., Caputo M.
openaire +3 more sources
Alexandria Engineering Journal, 2022 Fractal fractional operators in Caputo and Caputo-Fabrizio sense are being used in this manuscript to explore the interaction between the immune system and cancer cells.
Shabir Ahmad +3 more
doaj +1 more source
Analysis of an Electrical Circuit Using Two-Parameter Conformable Operator in the Caputo Sense [PDF]
, 2021 The problem of voltage dynamics description in a circuit containing resistors, and at least two fractional order elements such as supercapacitors, supplied with constant voltage is addressed.
Ewa Piotrowska, Łukasz Sajewski
core +1 more source
Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative
Fractal and Fractional, 2022 In this article, the mathematical model of COVID-19 is analyzed in the sense of a fractional order Caputo operator with the consideration of an asymptomatic class. The suggested model is comprised of four compartments. The results from fixed point theory
Badr S. Alkahtani
doaj +1 more source
Mathematics, 2020 There has been considerable recent interest in certain integral transform operators with non-singular kernels and their ability to be considered as fractional derivatives.
Christopher Nicholas Angstmann +3 more
doaj +1 more source
Quadratic and cubic logistic models involving Caputo–Fabrizio operator [PDF]
, 2023 In this paper, we numerically investigate the fractional quadratic and cubic logistic models involving the Caputo–Fabrizio operator. We construct the successive iterations using the theory of fractional calculus and Lagrange polynomials. Then, we handled
Khaled M. Saad +3 more
core +1 more source