Open AccessExistence Theory and Stability Analysis of Nonlinear Neutral Pantograph Equations via Hilfer-Katugampola Fractional Derivative
Author(s) -
S. Harikrishnan,
E. M. Elsayed,
K. Kanagarajan
Publication year - 2020
Publication title -
journal of advances in applied and computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2409-5761
DOI - 10.15377/2409-5761.2020.07.1
Subject(s) - fixed point theorem , contraction principle , nonlinear system , mathematics , fractional calculus , stability (learning theory) , pantograph , derivative (finance) , mathematical analysis , contraction mapping , contraction (grammar) , fixed point , banach space , physics , economics , computer science , engineering , mechanical engineering , medicine , quantum mechanics , machine learning , financial economics
The aim and objectives of this paper are devoted to study some adequate results for the existence and stability of solutions of nonlinear neutral pantograph equations with Hilfer-Katugampola fractional derivative. The arguments are based upon Schauder fixed point theorem and Banach contraction principle. Further, we also study the Ulam type stability for proposed problem.