Results 171 to 180 of about 39,241 (326)

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

Mathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés, Ana Navarro‐Quiles, Sorina Madalina Sferle   +2 more
wiley   +1 more source

A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source

A posteriori error estimates for the Generalized Burgers-Huxley equation with weakly singular kernels

This paper explores the residual based a posteriori error estimations for the generalized Burgers-Huxley equation (GBHE) featuring weakly singular kernels.
Khan, Arbaz, Mahajan, Sumit
core  

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]

PLoS One
Tadoummant L, Khalil H, Echarggaoui R, Aljohani S, Mlaiki N.   +4 more
europepmc   +1 more source

hp-discontinuous Galerkin method for the generalized Burgers-Huxley equation with weakly singular kernels

In this work, we investigate the $hp$-discontinuous Galerkin (DG) time-stepping method for the generalized Burgers-Huxley equation with memory, a non-linear advection-diffusion-reaction problem featuring weakly singular kernels.
Khan, Arbaz, Mahajan, Sumit
core  

Nondecreasing solutions of fractional quadratic integral equations involving Erdélyi-Kober singular kernels

, 2016
In this paper, we firstly present the existence of nondecreasing solutions of a fractional quadratic integral equations involving Erdélyi-Kober singular kernels for three provided parameters $\alpha\in ({1}/{2},1)$, $\beta\in (0,1]$ and $\gamma\in [\beta(
Wang, JinRong, Xin, Jie, Zhu, Chun, Chen, Fulai   +3 more
core  

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

Bifurcation analysis and novel wave patterns to Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation with truncated M-fractional derivative. [PDF]

Sci Rep
Ahmad J, Masood K, Ayub F, Shah NA.
europepmc   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source