Results 51 to 60 of about 1,661 (192)
A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia +2 more
core
Optimal random search, fractional dynamics and fractional calculus
, 2013 What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem, however, which ...
Chen, YangQuan, Zeng, Caibin
core +1 more source
On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid +5 more
wiley +1 more source
Nonlinear Engineering, 2016 Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance
Rajagopal Karthikeyan +1 more
doaj +1 more source
Open Mathematics, 2020 In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha +2 more
doaj +1 more source
Demonstratio Mathematica, 2023 In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different ...
Alsaedi Ahmed +3 more
doaj +1 more source
Positive solution of a fractional differential equation with integral boundary conditions
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo +2 more
semanticscholar +1 more source
Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin +4 more
wiley +1 more source
Numerical approach to the controllability of fractional order impulsive differential equations
Demonstratio Mathematica, 2020 In this manuscript, a numerical approach for the stronger concept of exact controllability (total controllability) is provided. The proposed control problem is a nonlinear fractional differential equation of order α∈(1,2]\alpha \in (1,2] with non ...
Kumar Avadhesh +3 more
doaj +1 more source
Demonstratio Mathematica, 2023 Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya +2 more
doaj +1 more source