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Title
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On the New Fractional Operator and Application to Nonlinear Bloch System
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Type
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Book
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Keywords
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Fractional calculus Bloch system Exponential-decay law Lagrange interpolation
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Abstract
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In this chapter, we analyze the nonlinear Bloch system with a new fractional operator without singular kernel proposed by Michele Caputo and Mauro Fabrizio. The commensurate and non-commensurate order nonlinear Bloch system is considered. Special solutions using a numerical scheme based in Lagrange interpolations were obtained. We studied the uniqueness and existence of the solutions employing the fixed point theorem. Novel chaotic attractors with total order less than 3 are obtained.
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Researchers
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Ebenezer Bonyah (Third Researcher), Behzad Ghanbari (Second Researcher), j.f. Gómez-Aguilar (First Researcher)
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