2015/11/15 by Kiran M. Kolwankar · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Applied mathematics #Differential equation #Fractal #Fractional Differential Equations Solutions #Fractional calculus #Function (biology) #Geometry #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematics #Order (exchange) #Ordinary differential equation #Scaling #Separable space #Simple (philosophy) #math-ph #math.CA #math.DS #math.MP
paper · pdf · doi:10.1142/s0218348x16500213
published in Fractals 24(02), 1650021 (World Scientific) · develops some aspects of arXiv:cond-mat/0511307 further
arxiv created 2015/11/15 · openalex publication_date 2016/04/28 · arxiv updated 2017/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The concept of local fractional derivative was introduced in order to be able to study the local scaling behavior of functions. However it has turned out to be much more useful. It was found that simple equations involving these operators naturally incorporate the fractal sets into the equations. Here, the scope of these equations has been extended further by considering different possibilities for the known function. We have also studied a separable local fractional differential equation along with its method of solution.