Abstract fractional monotone approximation, theory and applications [electronic resource]

• 作者： Anastassiou, George A.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Studies in systems, decision and control ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Studies in systems, decision and control,v. 411
• 主題： Fractional calculus. , Engineering Mathematics. , Control and Systems Theory. , Mathematical and Computational Engineering Applications.
• ISBN： 9783030959432 (electronic bk.) 、 9783030959425 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Basic abstract fractional monotone approximation -- Abstract bivariate left fractional monotone constrained approximation by pseudo-polynomials -- Conclusion.
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• 摘要註: This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. This book's results are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.
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