Advances in Fractional Differential Operators and Their Applications, 2nd Edition

This reprint gathers recent advances in fractional differential equations and nonlocal modeling across discrete and continuous settings, united by a common theme: memory and long-range effects as first-class citizens in analysis, computation, and applications. The works here develop new objects (from fractional sequences to nonlocal Schrödinger dynamics), prove well-posedness under weak assumptions, and design numerics capable of honoring history dependence.