5 papers
Extremal mild solutions for Hilfer fractional evolution equation with mixed monotone Impulsive conditions
Divya Raghavan, Sukavanam Nagarajan
The well established mixed monotone iterative technique that is used to study the existence and uniqueness of fractional order system is studied explicitly for impulsive system wit…
Stability of Cobweb economic model involving Hilfer fractional derivative
Divya Raghavan, N Sukavanam
This paper evaluates the solution of cobweb models when there is a Hilfer fractional derivative in the demand and supply function. Particular cases when Hilfer derivative reducing…
Extremal mild solutions of Hilfer fractional Impulsive systems
Divya Raghavan, Sukavanam Nagarajan
The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this p…
Generalized Mittag-Leffler stability of fractional impulsive differential system
Divya Raghavan, Sukavanam Nagarajan, Chengbo Zhai
This paper establishes integral representations of mild solutions of impulsive Hilfer fractional differential equations with impulsive conditions and fluctuating lower bounds at im…
Properties of relaxed trajectories of non-linear fractional impulsive control systems
Divya Raghavan, Sukavanam Nagarajan
A non-convex control system governed by a nonlinear impulsive evolution equation of Hilfer fractional order in a Banach space is considered. The existence of admissible state-contr…