Fractional Integration and Certain Dual Integral Equations.
Roop Narain Kesarwani (1967)
Mathematische Zeitschrift
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Displaying similar documents to “The Changes of Sign of Fractional Integrals.”
Fractional Integration and Certain Dual Integral Equations.
Some properties of fractional integrals. II.
G. H., and J.E.Littlewood, Hardy (1932)
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Some properties of fractional integrals. I.
G. H., und J. Hardy, J. E. Littlewood (1928)
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On Fractional Integration Operators.
R.K. Saxena (1967)
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Correction to Fractional Integration and Certain Dual Integral Equations. Math. Zeitschr. 98, 83-88 (1967).
Roop Narain Kesarwani (1968)
Mathematische Zeitschrift
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Fractional integration and Meijer transform.
Krishna Ji Srivastava (1957)
Mathematische Zeitschrift
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A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
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Fractional-order Bessel functions with various applications
Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi (2019)
Applications of Mathematics
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We introduce fractional-order Bessel functions (FBFs) to obtain an approximate solution for various kinds of differential equations. Our main aim is to consider the new functions based on Bessel polynomials to the fractional calculus. To calculate derivatives and integrals, we use Caputo fractional derivatives and Riemann-Liouville fractional integral definitions. Then, operational matrices of fractional-order derivatives and integration for FBFs are derived. Also, we discuss an error...
On the fractional integral of Weyl in Lp.
C. Martínez, M.D. Martínez, M. Sanz (1994)
Mathematische Zeitschrift
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A detailed analysis for the fundamental solution of fractional vibration equation
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...