This special issue of Advances in Difference Equations is devoted to highlight some recent developments in abstract differential equations, fractional differential equations, and difference equations and their applications to mathematical physics, engineering, and biology.
Now, one branch of the studies on fractional differential equations is devoted to investigating the fractional evolution equation with nonlocal conditions, which is a valuable tool to describe the physics phenomena.
The 'Implementation in stochastic integral equation' section is devoted to the formulation of nonlinear SDE.
Equation 45 is devoted to the m th antenna, and it can be generalized to all antennas.
"Backward stochastic Riccati equations" section is devoted to the characterization of the optimal control by means of a system of BSREs in the case of both a control set A (= mathbb {R}^{m}) and A (= L mathbb {R}^{d};mathbb {R}^{m})).
Motivated by the recent known results as regards the existence and exponential decay of solutions for wave equations, this paper is devoted to the study of an N-dimensional nonlinear wave equation with a nonlocal boundary condition.
Among most of the studies on fractional differential equations, an important branch is devoted to investigating the fractional evolution equation, which is a valuable tool for describing physics phenomena.
The 'Dirac equation with a tensor coupling' section is devoted to the Dirac equation with scalar and vector potential with arbitrary spin-orbit coupling number κ including tensor interaction under spin and pseudospin symmetry limits.
In Section 3, we study the existence and stability of solitary waves of equation (1.1) with some special nonlinearities f ( u ) = 1 p u p. Section 4 is devoted to studying equation (1.1) with general nonlinearities f ( u ) satisfying the assumption (A).
In this paper, we will give a new set of sufficient condition for the existence and uniqueness of the second order elliptic equation (1.1), to which Section 3 is devoted.
