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Materias / palabras clave: Science: Mathematics

Materias / palabras clave: fractional calculus operators, mathematical engineering, dynamical analysis, applied mathematics, quantum calculus, mathematical biology; Science: Mathematics

Differential equations are equations that relate a function to one or more of its derivatives. Nonlinear means that the equation is not directly proportional to the function and its derivatives. In other words, its varia...

Abstract This study develops and analyzes a Caputo fractional-order SEIHRD model to investigate the transmission dynamics and control of Ebola virus disease. The model ensures positivity, boundedness, and invariance of f...

Abstract The Pehlivan chaotic system, introduced by Ibrahim Pehlivan and Yilmaz Uyaroglu, is a three-dimensional autonomous chaotic model with rich dynamical properties. This paper develops a numerical framework for the ...

In recent times, researchers across various fields have become interested in the topic of fractional calculus based on integrals and derivatives of fractional order. This area has numerous and widespread applications in ...

Materias / palabras clave: Anomalous diffusion; Physics; Random walk; Statistical physics; Relaxation (psychology); Diffusion; Master equation; Continuous-time random walk; Fokker–Planck equation; Fractional calculus; Exponential function; Advec...

Materias / palabras clave: Fractional calculus; Mathematics; Applied mathematics; Differential equation; Mathematical analysis

Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of measurability Simple functions Elementary properties of measures Arithmetic in [0, ] Integ...

Materias / palabras clave: applied mathematics, differential equations, dynamical systems, fractional calculus, numerical analysis, probability and statistics; Science: Mathematics: Probabilities. Mathematical statistics; Science: Mathematics: Ins...