The main purpose of this work is to study the numerical solution of a time fractional partial
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …

In this paper, a new set of functions called fractional alternative Legendre is defined for
solving nonlinear fractional integro-differential equations. The concept of the fractional …

This article deals with an efficient numerical technique to solve a class of multi-term time
fractional Volterra–Fredholm partial integro-differential equations of first kind. The fractional …

In this present paper, we introduce and study a dynamical systems involving fractional
derivative operator and nonlocal condition, which is constituted of a fractional evolution …

EXISTENCE OF MILD SOLUTIONS FOR IMPULSIVE FRACTIONAL-ORDER SEMILINEAR
EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS 1. Introducti Page 1 Electronic …

The moving least squares (MLS) approximation is used in this study to solve time-fractional
partial integro-differential equations (TFPIDE). In our approach, we approximate the time …

51 ON EXISTENCE OF POSITIVE SOLUTION FOR INITIAL VALUE PROBLEM OF
NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER 1 < α Page 1 Acta Math …

In this article we investigate some qualitative properties for a class of hybrid nonlinear
fractional differential equations. The existence, uniqueness, monotonicity and positivity of …

In this paper, we investigate the existence of solutions for fractional differential equations of
arbitrary order with nonlocal integral boundary conditions. The existence results are …

The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential
equations with mixed boundary conditions. The basic idea is to convert fractional integro …