Results 51 to 60 of about 88 (85)

A fractional order pyrolysis model with Atangana-Baleanu-Caputo derivative: analysis and numerical simulation

Open Engineering
Pyrolysis is key to transforming biomass and organic waste into useful energy products. However, standard integer-order models poorly capture the memory and heredity effects that significantly affect the thermal decomposition dynamics of pyrolysis.
Ali Mumtaz, Waeleh Nazreen, Zainuddin Nooraini, Daud Hanita, Jusoh Rahimah, Iqbal Mudassar   +5 more
doaj   +1 more source

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source

Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order

Open Mathematics, 2015
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number ...
Goufo Emile Franc Doungmo, Mugisha Stella   +1 more
doaj   +1 more source

Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions.
Ahmad Bashir, Ntouyas Sotiris K.
doaj   +1 more source

Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions

Advanced Nonlinear Studies, 2018
In this paper, we establish existence and multiplicity results for systems of first-order differential equations. To this end, we introduce the method of solution-regions.
Frigon Marlène
doaj   +1 more source

Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source

Existence of solutions for nonlinear problems involving mixed fractional derivatives with p(x)-Laplacian operator

Demonstratio Mathematica
In this article, a functional boundary value problem involving mixed fractional derivatives with p(x)p\left(x)-Laplacian operator is investigated. Based on the fixed point theorems and Mawhin’s coincidence theory’s extension theory, some existence ...
Sun Bingzhi
doaj   +1 more source

Some remarks on the absolute continuity of set-valued mappings

, 2017
В последнее время многие авторы рассматривали вопросы существования, единственности и свойства решений множественнозначных дифференциальных и интегро-дифференциальных уравнений, уравнений высших порядков, исследовали импульсные и управляемые системы в ...
Комлева, Татьяна Александровна, Плотнiкова, Лілія Іванівна, Плотников, Андрей Викторович, Plotnikova, Liliya I., Plotnikov, Andriy V., Плотникова, Лилия Ивановна, Плотніков, Андрій Вікторович, Комлєва, Тетяна Олександрівна, Komleva, Tetyana O.   +8 more
core   +1 more source

Transformation of p-gradient flows to p′-gradient flows in metric spaces

Analysis and Geometry in Metric Spaces
We explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function and the associated metric space satisfy a suitable convexity condition ...
Shimoyama Sho
doaj   +1 more source

Some discussions on solutions for a K-dimensional system of fractional anti-periodic boundary value problems and applications for financial problems

Mathematical and Computer Modelling of Dynamical Systems
This paper presents a K-dimensional system of an anti-periodic boundary value problem for nonlinear fractional differential equations with Riemann–Liouville–Caputo derivatives.
Man-Wen Tian, Jun-Bo Mao, Behrooz Mohammadiyan, Hojjat Afshari, Ardashir Mohammadzadeh   +4 more
doaj   +1 more source