Results 81 to 90 of about 1,330 (174)

All functions are (locally) $s$-harmonic (up to a small error) - and applications

, 2017
The classical and the fractional Laplacians exhibit a number of similarities, but also some rather striking, and sometimes surprising, structural differences. A quite important example of these differences is that any function (regardless of its shape)
Annalisa Massaccesi, C Bucur, Claudia Bucur, Eugenio Montefusco, Giulia Carboni, GM Viswanathan, Hiroshi Matano, Jürgen Sprekels, Louis Dupaigne, Luis Caffarelli, Mouhamed Moustapha Fall, N. S. Landkof, Pablo Raúl Stinga, Raffaella Servadei, Richard G Casten, Russell Schwab, S Dipierro, Serena Dipierro, Serena Dipierro, Xavier Ros-Oton   +19 more
core   +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, Saiwan Majeed, Sozan Aziz, Arkan Mustafa, Kamal Kumar   +4 more
wiley   +1 more source

On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions

Open Mathematics, 2021
We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are
Alsaedi Ahmed, Ahmad Bashir, Alghamdi Badrah, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

Fractional Differential Calculus, 2019
In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar   +1 more source

New Results for p‐Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The p‐Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p‐Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered.
Wangjin Yao, Huiping Zhang, Shrideh K. Q. Al-Omari   +2 more
wiley   +1 more source

Perturbation-iteration approach for fractional-order logistic differential equations

Nonlinear Engineering
In this article, we present an accurate semi-analytical solution for fractional-order logistic equations across a wider domain. We accomplish this by deriving successive approximate solutions using a modified perturbation iteration approach tailored for ...
Owoyemi Abiodun Ezekiel, Phang Chang, Isah Abdulnasir   +2 more
doaj   +1 more source

On multi-step methods for singular fractional q-integro-differential equations

Open Mathematics, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges, Samei Mohammad Esmael, Alzabut Jehad, Chu Yu-ming   +3 more
doaj   +1 more source

A coupled system of fractional differential equations with nonlocal integral boundary conditions

, 2012
In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order.
S. Ntouyas, M. Obaid
semanticscholar   +1 more source

Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

Nonautonomous Dynamical Systems, 2019
The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

Journal of Mathematics and Applications, 2019
The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative.
Bilal Basti, Yacine Arioua, N. Benhamidouche   +2 more
semanticscholar   +1 more source