Results 71 to 80 of about 251 (140)

Bifurcation analysis and investigations of optical soliton solutions to fractional generalized third-order nonlinear Schrödinger equation

Open Physics
This study investigates the optical soliton solutions to the generalized third-order nonlinear Schrödinger equation involving the Caputo fractional derivative using new mapping method. The fractional generalized third-order nonlinear Schrödinger equation
Inayat Moazzma, Abbas Muhammad, Yousaf Muhammad Zain, Hamed Y.S., Nazir Tahir, Vivas-Cortez Miguel   +5 more
doaj   +1 more source

Neumann problem with a discontinuous nonlinearity

Demonstratio Mathematica
This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power nonlinearity and a nonsmooth prescribed data. Additionally, we aim to derive
Choudhuri Debajyoti, Repovš Dušan D., Saoudi Kamel   +2 more
doaj   +1 more source

The critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group

Demonstratio Mathematica
This paper is committed to the existence of multiple solutions for the critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group:
Ma Xueyan, Li Haoyan, Song Yueqiang
doaj   +1 more source

Wellposedness and dynamics of two types of reaction–nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian

Advances in Nonlinear Analysis
Reaction–nonlocal diffusion equations (RNDEs) model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brownian motion.
Yuan Pu, Zegeling Paul A.
doaj   +1 more source

Coupled reaction-diffusion waves in a chemical system via fractional derivatives in Liouville-Caputo sense

, 2018
In this paper, we have generalized the fractional cubic isothermal auto-catalytic chemical system (FCIACS) with Liouville-Caputo, CaputoFabrizio-Caputo, and Atangana-Baleanu-Caputo fractional time derivatives, respectively. We apply the Homotopy Analysis
Khaled M. Saad, J. F. Gomez-Aguilar
core  

Space-time fractional modeling of memory and non-local effects in non-linear shallow water hydrodynamics

Nonlinear Engineering
This study develops a generalized analytical framework for Space-Time Fractional Shallow Water Equations (ST-FSWE) to characterize the combined influence of memory effects and non-local dynamics in open-channel hydrodynamics.
Tawalbeh Zada, Jaradat Imad
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Three nontrivial solutions for nonlinear fractional Laplacian equations

Advances in Nonlinear Analysis, 2018
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze, Iannizzotto Antonio   +1 more
doaj   +1 more source

Boundary regularity of an isotropically censored nonlocal operator. [PDF]

Calc Var Partial Differ Equ, 2023
Chan H.
europepmc   +1 more source

Sliding methods for dual fractional nonlinear divergence type parabolic equations and the Gibbons’ conjecture

Advanced Nonlinear Studies
In this paper, we consider the general dual fractional parabolic problem ∂tαu(x,t)+Lu(x,t)=f(t,u(x,t))inRn×R. ${\partial }_{t}^{\alpha }u\left(x,t\right)+\mathcal{L}u\left(x,t\right)=f\left(t,u\left(x,t\right)\right) \text{in} {\mathbb{R}}^{n}{\times ...
Guo Yahong, Ma Lingwei, Zhang Zhenqiu
doaj   +1 more source