Journal ArticleDOI
Linear models of dissipation in anelastic solids
Michele Caputo,Francesco Mainardi +1 more
- Vol. 1, Iss: 2, pp 161-198
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The article was published on 1971-04-01. It has received 726 citations till now. The article focuses on the topics: Dissipation.read more
Citations
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Global existence of solutions for a fractional Caputo nonlocal thermistor problem
TL;DR: In this article, a local existence result for a fractional Caputo nonlocal thermistor problem is proved and additional existence and continuation theorems are obtained, ensuring global existence of solutions.
Journal ArticleDOI
A new interpretation for the dynamic behaviour of complex fluids at the sol–gel transition using the fractional calculus
Stephane Warlus,Alain Ponton +1 more
TL;DR: In this paper, the power law shear stress relaxation modulus observed at the sol-gel transition (SGT) in many gelling systems in terms of fractional calculus is analyzed.
Book ChapterDOI
Historical Overview of the Mittag-Leffler Functions
TL;DR: Gosta Magnus Mittag-Leffler was born on March 16, 1846, in Stockholm, Sweden as mentioned in this paper, and his mother, Gustava Vilhelmina Mittag, was a daughter of a pastor who was a person of great scientific abilities.
Journal ArticleDOI
Electromagnentic filed and rotation for fractional derivative order calculus with temperature-dependent on reflection of longitudinal wave under initial stress and three-phase-lag model
TL;DR: In this paper , the authors investigated the fractional order calculus in addition to studying impact of temperature dependent properties, electromagnetic field, rotation, and primary pressure on the reflection of plane and secondary vertically waves phenomenon putting in considerations the three phase lag model (THPL).
Journal ArticleDOI
Some analytical merits of Kummer-Type function associated with Mittag-Leffler parameters
Firas Ghanim,Hiba F. Al-Janaby +1 more
TL;DR: In this article, the study of fractional calculus and special functions has been interestingly prompted in various realms of mathematics, engineering and sciences. This is due to the considerability of the concepts.
References
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Journal ArticleDOI
Linear Models of Dissipation whose Q is almost Frequency Independent-II
TL;DR: In this paper, a linear dissipative mechanism whose Q is almost frequency independent over large frequency ranges has been investigated by introducing fractional derivatives in the stressstrain relation, and a rigorous proof of the formulae to be used in obtaining the analytic expression of Q is given.
Book
Stress Waves in Solids
TL;DR: A large and growing number of original papers on both the experimental and the theoretical aspects of stress wave propagation is appearing in the scientific literature, and two international conferences solely concerned with the subject have been held during the last five years as mentioned in this paper.