Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation ...

This article analyzes the existence and approximation of solutions to initial value problems for nonlinear fractional differential equations of arbitrary order. Several new approaches are furnished in ...

SIAM Journal on Applied Mathematics, Vol. 48, No. 6 (Dec., 1988), pp. 1227-1243 (17 pages) The aim of this paper is to contribute to the foundation of the asymptotic methods for initial-boundary value ...

"Differential equations are very common in science, notably in physics, chemistry, biology and engineering, so there is a lot of possible applications," they say.

Inverse problems in fractional differential equations encompass the challenging task of deducing unknown parameters, source terms or initial conditions from observed data in systems governed by ...