In this paper, we consider a p-Laplacian eigenvalue boundary value problem involving both right Caputo and left Riemann-Liouville types fractional derivatives. To prove the existence of solutions, apply Schaefer’s fixed point theorem. Furthermore, present Lyapunov inequality for corresponding problem.

This paper presents a new predictor–corrector numerical scheme suitable for fractional differential equations. An improved explicit Atangana–Seda formula is obtained by considering the neglected terms and used as predictor stage of proposed method. Numerical formulas are presented that approximate classical first derivative well Caputo, Caputo–Fabrizio Atangana–Baleanu derivatives. Simulation r...

Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and a linear closed operator A, studied. The issues of unique solvability Cauchy problem to such considered. Under Lipschitz continuity condition phase variables two types over all nonlinear equation, we obtain versions on theorem nonlocal existe...

In order to develop certain fractional probabilistic analogues of Taylor’s theorem and mean value theorem, we introduce the nth-order fractional equilibrium distribution in terms of the Weyl fractional integral and investigate its main properties. Specifically, we show a characterization result by which the nth-order fractional equilibrium distribution is identical to the starting distribution ...

GH has previously been shown to be present in peripheral extrapituitary tIssues of chick embryos, but the cellular distribution of GH immunoreactivity is still uncertain because of differing immunohistochemical findings. The possibility that this uncertainty reflects differences in fixation of the embryonic tIssues was assessed by comparing GH immunoreactivity in tIssues fixed in 4% (w/v) paraf...