Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...

The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...

In this paper, we establish the existence and uniqueness of solutions to nonlinear hybrid fractional differential equations within the Atangana-Baleanu-Caputo framework. Our analysis incorporates both ...