We study the equivalences and implications between linear (or homogeneous) nth order fractional differential equations (FDEs) integral in spaces L1(a,b) C[a,b] when n≥ 2. establish equivalence of IVP FDE subject to initial condition u(i)(a)=ui for i {0,1,...,n-1} n≥2. The difficulty is that known conditions such first FDEs are not sufficient with In this article we provide additional ensure par...

Abstract In this manuscript, we examine both the existence and stability of solutions to implicit boundary value problem Caputo fractional differential equations variable order. We construct an example illustrate validity observed results.

The standard diffusion processes are known to be obtained as the limits of appropriate random walks. These prelimiting walks can quite different, however. coefficient made responsible for size jumps or intensity jumps. limit does not feel difference. situation changes if we model jump-type approximations via CTRW with non-exponential waiting times. If make and take times from domain attraction ...