Sumudu transform in fractal calculus

DOI10.1016/j.amc.2019.01.025zbMath1428.28014OpenAlexW2914504281MaRDI QIDQ2009268

Cemil Tunç, Alireza Khalili Golmankhaneh

Publication date: 27 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.025

zbMATH Keywords

fractal calculusCantor-like setsfractal Laplace transformfractal sumudu transformstaircase function

Mathematics Subject Classification ID

Laplace transform (44A10) Integration on manifolds; measures on manifolds (58C35) Fractals (28A80)

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Cites Work

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• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Anomalous diffusion modeling by fractal and fractional derivatives
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• On the Lipschitz condition in the fractal calculus
• Sub- and super-diffusion on Cantor sets: beyond the paradox
• Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion
• Electromagnetic fields and waves in fractional dimensional space
• LANGEVIN EQUATION ON FRACTAL CURVES
• CALCULUS ON FRACTAL CURVES IN Rⁿ
• CALCULUS ON FRACTAL SUBSETS OF REAL LINE — II: CONJUGACY WITH ORDINARY CALCULUS
• Further properties of the Sumudu transform and its applications
• CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
• Axiomatic basis for spaces with noninteger dimension
• Application of Sumudu transform to partial differential equations
• Local Fractional Fokker-Planck Equation
• Fractional differentiability of nowhere differentiable functions and dimensions
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
• Fractional Calculus