In this study, a global solution is presented for an initial boundary value problem involving a
wave equation with logarithmic nonlinear source terms and fractional boundary dissipation …

We study some energy well-posedness issues of the Schrödinger equation with an
inhomogeneous mixed nonlinearity and radial data iu˙−(− Δ) su±| x| ρ| u| p− 1 u±| u| q− 1 u …

In this work, we establish a theorem concerning the extension of positive weak solutions for
a stationary fractional Laplacian problem featuring weight functions that change sign …

In this paper we highlight a type of hyperbolic equation relating the logarithmic source term
with distributed delay and dynamic boundary condition. We get, under comfortable primary …

In this work, a time fractional Schrödinger equation with Caputo fractional derivative of order
α∈(0, 1) is considered, whose solution exhibits a weak singularity at initial time. We divide …

We consider weak solutions of the nonlinear time-fractional biharmonic diffusion equation∂
t α u+∂ t β u+ uxxxx= h (t, x)| u| p in (0,∞)×(0, 1) subject to the initial conditions u (0, x)= u 0 …

Weak Solutions for a System Involving Anisotropic $$\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot
)\right) $$ -Laplacian Operators | Iranian Journal of Science Skip to main content …

In this paper, we study the Neumann problem for a class of nonlocal dispersal models with
inhomogeneous kernel function. We investigate the existence, uniqueness, and limit of …

This paper focuses on revisiting and improving the results regarding the existence of a
solution to the implicit fractional differential equations (FDEs) given in the following form: for …

In this paper, we explore the ball convergence properties of enhanced Phragmén–Lindelöf
type methods for solving the Dirichlet problem with an elliptic operator. By placing …