Results 31 to 40 of about 498,408 (222)

On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series

open access: yesAdvances in Difference Equations, 2020
In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar   +2 more
doaj   +1 more source

MILNE-TYPE INEQUALITIES FOR DIFFERENT CLASSES OF MAPPING BASED ON PROPORTIONAL CAPUTO-HYBRID OPERATOR [PDF]

open access: yes, 2023
In this study, we prove many integral inequalities associated with the Milne-type integral inequalities for proportional Caputo-hybrid operator with the use of the identity given by Demir [12].
Demir, İzzettın
core   +2 more sources

A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative

open access: yesScientific Reports, 2021
This article focused on the comparative study of entropy generation for natural convection flow of the newly proportional Caputo hybrid and Atangana baleanu fractional derivative.
Dolat khan   +2 more
doaj   +1 more source

Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function

open access: yesAlexandria Engineering Journal, 2023
In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin.
Wen-Hua Huang   +5 more
doaj   +1 more source

Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition

open access: yesComplexity, 2021
The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem
Zhongqi Peng   +3 more
doaj   +1 more source

Modelling and analysis tuberculosis (TB) model with hybrid fractional operator

open access: yesAlexandria 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

Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels

open access: yesAlexandria 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

Certain fractional inequalities via the Caputo Fabrizio operator [PDF]

open access: yes, 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
Munir, Arslan   +2 more
core   +1 more source

Intrinsic Discontinuities in Solutions of Evolution Equations Involving Fractional Caputo–Fabrizio and Atangana–Baleanu Operators

open access: yesMathematics, 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

Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative

open access: yesFractal 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

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