We build the quasilinearization method with initial time difference for nonlinear fractional
differential equations (FDEs) involving generalized Hilfer fractional derivative under various …

This paper deals with theoretical and constructive existence results for solutions of nonlinear
fractional differential equations using the method of upper and lower solutions which …

This paper deals with an application of the method of quasilinearization by not demanding
the Hölder continuity assumption of functions involved and by choosing upper and lower …

The main aim of the paper is to suggest some algorithms and to use them in an appropriate
computer environment to solve approximately the initial value problem for scalar nonlinear …

Recent literature shows that for certain classes of fractional differential equations the
monotone iterative technique fails to guarantee the quadratic convergence of the …

Most practical problems can be modeled by ordinary or partial differential equations. Most of
the problems that describe real world situations are highly nonlinear and it is not always …

In this work, the monotone iterative technique have been investigated by choosing upper
and lower solutions with initial time difference that start at different initial times for the initial …

In this paper, we establish some comparison results for nonlinear fractional differential
equation via coupled upper and lower solutions starting at different initial times. Our main …

QUASILINEARIZATION METHOD FOR CAUSAL TERMINAL VALUE PROBLEMS INVOLVING
RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES 1. Introduction Page 1 Electronic Journal …

We have investigated that the generalized quasilinearization method under some
convenient conditions for nonlinear initial value problem (IVP) of dynamic equation on time …