The purpose of this article is to study new non-Archimedean pseudo-differential operators
whose symbols are determined from the behavior of two functions defined on the p-adic …

In this article, we study new classes of evolution equations in the p-adic context. We
establish rigorously that the fundamental solutions of the homogeneous Cauchy problem …

In this article we define and study various generalizations non-archimedean pseudo-
differential operators and its connections with probability theory. We provide explicit and …

In this article, we introduce a new type of pseudo-differential equations naturally connected
with non-archimedean pseudo-differential operators and whose symbols are new classes of …

This paper introduces new classes of p-adic operators representing m-dissipative pseudo-
differential operators with negative definite symbols under certain conditions. We will study …

Two types of p-adic pseudo-differential operators (denoted, respectively, by T f 1, f 2 l and J f
1, f 2 α) are introduced in this article. We will show that the operator T f 1, f 2 l determines …

In this article, we will study a class of pseudo-differential operators on p-adic numbers, which
we will call p-adic Bessel α-potentials. These operators are denoted and defined in the form …

This article marks the inaugural exploration of certain classes of negative or positive definite
functions in several p-adic variables. Associated with these functions, two classes of pseudo …

My objective is to define non-archimedean pseudo-differential operator associted with
fractional Fourier transform in this manuscript. In this manuscript, we discuss some classes …