Fractional Integration and Certain Dual Integral Equations.
Roop Narain Kesarwani (1967)
Mathematische Zeitschrift
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Roop Narain Kesarwani (1967)
Mathematische Zeitschrift
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G. H., and J.E.Littlewood, Hardy (1932)
Mathematische Zeitschrift
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G. H., und J. Hardy, J. E. Littlewood (1928)
Mathematische Zeitschrift
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R.K. Saxena (1967)
Mathematische Zeitschrift
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Roop Narain Kesarwani (1968)
Mathematische Zeitschrift
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Krishna Ji Srivastava (1957)
Mathematische Zeitschrift
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Branislav Martić (1973)
Publications de l'Institut Mathématique
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C. Martínez, M.D. Martínez, M. Sanz (1994)
Mathematische Zeitschrift
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Li-Li Liu, Jun-Sheng Duan (2015)
Open Mathematics
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In this paper, we investigate the solution of the fractional vibration equation, where the damping term is characterized by means of the Caputo fractional derivative with the order α satisfying 0 < α < 1 or 1 < α < 2. Detailed analysis for the fundamental solution y(t) is carried out through the Laplace transform and its complex inversion integral formula. We conclude that y(t) is ultimately positive, and ultimately decreases monotonically and approaches zero for the case...
Helena Musielak (1973)
Colloquium Mathematicae
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