In this paper, approximate solutions of the Cauchy problem for the Helmholtz equation on a
two-dimensional bounded region are found. The problem under consideration belongs to …

In this paper, we first summarize fractal calculus and extend Itô calculus to fractal sets,
focusing on the integration and differentiation of stochastic processes within fractal …

In this paper, we provide a summary of fractal calculus and propose the use of Lagrangian
multipliers for fractal calculus and fractal variational calculus with constraints. We explore the …

In this paper, we give a short summary of fractal calculus. We introduce the concept of fractal
variation of calculus and derive the general form of the fractal Euler equation, along with an …

This paper provides a comprehensive study of fractal calculus and its application to
differential equations within fractal spaces. It begins with a review of fractal calculus …

In this paper, we introduce Fractal Volterra Integral Equations and Fractal Fredholm Integral
Equations. We derive the corresponding fractal differential equations and provide solutions …

In this paper, we provide a brief overview of fractal calculus and present a comprehensive
study of the calculus of variations for functionals on fractal sets. We begin by introducing the …

In this paper, we first provide a brief overview of fractal calculus. We then introduce and
explore the concepts of fractal complex numbers and functions, including the definition of the …