An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense

DOI10.1007/s40819-021-01068-5zbMath1496.74064OpenAlexW3177831558WikidataQ112879819 ScholiaQ112879819MaRDI QIDQ2114951

Amit Prakash, Shivangi Gupta, Manish Goyal

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01068-5

zbMATH Keywords

convergence analysismembranehomotopy perturbation methodLiouville-Caputo fractional order derivative

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Fractional derivatives and integrals (26A33) Membranes (74K15) Applications of fractional calculus in solid mechanics (74S40)

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