Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...

Abstract: In this paper a novel denoising algorithm based on partial differential equation variational approach is proposed. The proposed algorithm is obtained by weighted combinations of the an ...

ABSTRACT: In this article, we summarize some results on invariant non-homogeneous and dynamic-equilibrium (DE) continuous Markov stochastic processes. Moreover, we discuss a few examples and consider ...

ABSTRACT: In this paper, we study the forced oscillation properties of a class of fractional impulsive delay partial differential equations under the conformable fractional calculus definition with ...

In the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...