@ARTICLE{فتحی پور,
author = {فتحی پور, اعظم and fathipour, azam and },
title = {A distinct numerical approach for the solution of some kind of initial value problem involving nonlinear q-fractional differential equations},
volume = {8},
number = {3},
abstract ={The fractional calculus deals with the generalization of integration and differentiation of integer order to those ones of any order. The q-fractional differential equation usually describe the physical process imposed on the time scale set Tq. In this paper, we first propose a difference formula for discretizing the fractional q-derivative of Caputo type with order and scale index . We establish a rigorous truncation error boundness and prove that this difference formula is unconditionally stable. Then, we consider the difference method for solving the initial problem of q-fractional differential equation: . We prove the unique existence and stability of the difference solution and give the convergence analysis. Numerical experiments show the effectiveness and high accuracy of the proposed difference method. },
URL = {http://mmr.khu.ac.ir/article-1-3103-en.html},
eprint = {http://mmr.khu.ac.ir/article-1-3103-en.pdf},
journal = {Mathematical Researches},
doi = {},
year = {2022}
}