arXiv subjects
Publications and source records attributed to Bhagwat R. Yewale.
In this paper, we investigate the existence and uniqueness of solution of nonlinear $ψ$-Caputo fractional differential equation with the help of Banach fixed point theorem. Moreover, by using $ψ$-Gronwall inequality, we studied some qualitative properties of solutions such as estimate and stability.
In this paper, we establish Iyengar type inequalities utilizing $ψ$-Caputo fractional derivatives that is, fractional derivative of a function with respect to another function, which is generalization of some known fractional derivatives such as Riemann-Liouville, Hadamard, Erdélyi-Kober. The inequalities in this article are with respect to $L_{p}$ norms, $1\leq p \leq \infty.$ The tools used in the analysis are based on Taylor's formulae for $ψ$-Caputo fractional derivatives.