 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| V.S. Kulkarni and S.N. Sankeshwari, "Application of the Fractional Natural Decomposition Method to Hyperbolic Fractional Thermoelasticity," Mech. Solids. 60 (4), 2660-2681 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2660-2681 |
| DOI |
10.1134/S0025654425601430 |
| Title |
Application of the Fractional Natural Decomposition Method to Hyperbolic Fractional Thermoelasticity |
| Author(s) |
V.S. Kulkarni (University of Mumbai, Mumbai, 400098 India, drvinayaksk1@gmail.com)
S.N. Sankeshwari (SVKM’s NMIMS Deemed to be University, Mumbai, 400056 India, sagarsankeshwari1@gmail.com) |
| Abstract |
A linear system of classical and hyperbolic thermoelasticity has been established in the
framework of the Caputo time fractional derivative in the cartesian domain. The solutions of the
homogeneous time fractional system of classical and hyperbolic thermoelasticity with respect to initial
conditions are obtained by applying the fractional natural decomposition method (FNDM). The convergence of infinite series solutions has been addressed. The stability conditions of the proposed systems are discussed. Furthermore, the physical behavior of the acquired solutions has been represented
in the form of graphical representations for different fractional orders. The obtained results of the study
demonstrate the FNDM’s high accuracy and computational effectiveness. Moreover, the significant
role of relaxation time and the fractional order parameters are studied as material characteristics. |
| Keywords |
Hyperbolic thermoelasticity, Classical thermoelasticity, Fractional natural decomposition method, Second sound, Fractional partial differential equations, System of partial differential equation |
| Received |
26 March 2025 | Revised |
13 May 2025 | Accepted |
13 May 2025 |
| Link to Fulltext |
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