A new fractional derivative of variable order with non-singular kernel and fractional differential equations

2017/12/18 by J. Vanterler da C. Sousa, Sousa, J. Vanterler da C., E. Capelas de Oliveira +1
Mathematics · #26A33 #33BXX #34A07 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1712.06506

openalex publication_date 2017/12/18 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce two new non-singular kernel fractional derivatives and present a class of other fractional derivatives derived from the new formulations. We present some important results of uniformly convergent sequences of continuous functions, in particular the Comparison's principle, and others that allow, the study of the limitation of fractional nonlinear differential equations.

Citations

• A New Fractional Derivative with Classical Properties

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