Solving Fdes With Caputo-Fabrizio Derivative by Operational Matrix Based on Genocchi Polynomials
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Abstract
We introduce a new approach to solve a type of fractional order differential equations without singularity. For fractional integration, we obtain the operational matrix through Genocchi polynomials. Some examples are presented to test the applicability and efficiency of the technique.
Description
Jafari, Hossein/0000-0001-6807-6675
Keywords
Caputo-Fabrizio Fractional Derivative, Genocchi Polynomials, Operational Matrix, Genocchi polynomials, operational matrix, Fractional ordinary differential equations, Caputo-Fabrizio fractional derivative
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Roshan, Sedighe Sadeghi; Jafari, Hossein; Baleanu, Dumitru, "Solving FDEs with Caputo-Fabrizio derivative by operational matrix based on Genocchi polynomials", Mathematical Methods in the Applied Sciences, Vol. 41, No. 18, pp. 9134-9141, (2018).
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OpenCitations Citation Count
48
Volume
41
Issue
18
Start Page
9134
End Page
9141
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CrossRef : 42
Scopus : 57
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57
checked on May 29, 2026
Web of Science™ Citations
48
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4
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