Found 65 Documents (Results 1–65)
On the variable order fractional calculus of fractal interpolation functions. (English) Zbl 1522.26008
Some parametric and argument variations of the operators of fractional calculus and related special functions and integral transformations. (English) Zbl 1515.26013
New extension of fractional-calculus results associated with product of certain special functions. (English) Zbl 1499.26008
Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of \(q\)-integral \(p\)-variation. (English) Zbl 1490.26020
Reviewer: James Adedayo Oguntuase (Abeokuta)
New Hardy-type integral inequalities. (English) Zbl 1474.26124
Reviewer: Constantin Niculescu (Craiova)
Certain fractional integral and differential formulas involving the extended incomplete generalized hypergeometric functions. (English) Zbl 1442.26008
Rassias, Themistocles M. (ed.) et al., Mathematical analysis and applications. Cham: Springer. Springer Optim. Appl. 154, 217-272 (2019).
A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas. (English) Zbl 1488.33025
Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions. (English) Zbl 1359.26009
Reviewer: Kun Soo Chang (Seoul)
Boundedness, compactness for a class of fractional integration operators of Weyl type. (English) Zbl 1463.26011
On \(\overline{H}\)-function. (English) Zbl 1364.26013
Numerical methods for fractional calculus. (English) Zbl 1326.65033
Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series. Boca Raton, FL: CRC Press (ISBN 978-1-4822-5380-1/hbk; 978-1-4822-5381-8/ebook). xviii, 281 p. (2015).
Reviewer: Kai Diethelm (Braunschweig)
On the solutions of integral equations of Fredholm type with special functions. (English) Zbl 1275.33033
On generalized fractional \(q\)-integral operators involving the \(q\)-Gauss hypergeometric function. (English) Zbl 1312.33047
Sharp two weight inequalities for commutators of Riemann-Liouville and Weyl fractional integral operators. (English) Zbl 1202.26013
Reviewer: James Adedayo Oguntuase (Abeokuta)
Convolution integral equation of Fredholm type with certain transcendental functions. (English) Zbl 1221.33027
Reviewer: Adrian Carabineanu (Bucureşti)
Fundamentals of fractional integrodifferentiation. (Основи дробового інтегро-диференціювання.) (Ukrainian) Zbl 1224.26024
Kyïv: TOV “Zadruga” (ISBN 978-966-432-011-2). 362 p. (2007).
Reviewer: Mikhail P. Moklyachuk (Kyïv)
Identities on fractional integrals and various integral transforms. (English) Zbl 1127.44001
Reviewer: Khristo N. Boyadzhiev (Ada)
Rational approximations of Riemann-Liouville and Weyl fractional integrals. (English. Russian original) Zbl 1115.41013
Math. Notes 78, No. 3, 391-402 (2005); translation from Mat. Zametki 78, No. 3, 428-441 (2005).
Reviewer: G. Laville (Caen)
Hardy-type inequalities for integral transforms associated with Jacobi operator. (English) Zbl 1109.26012
Reviewer: Bohumír Opic (Praha)
A class of convolution integral equations involving product of generalized polynomial set, general class of polynomials and Fox’s \(H\)-function. (English) Zbl 1058.45002
Reviewer: Nikolai K. Karapetyants (Rostov-na-Donu)
Unified fractional integral formulas for the generalized H-function. (English) Zbl 1062.33012
Reviewer: Pedro José Miana (Zaragoza)
Criteria for the boundedness and compactness of generalized one-sided potentials. (English) Zbl 1018.42011
Reviewer: Boris Rubin (Givat Ram / Jerusalem)
An application of the \(N\)-fractional calculus operator method to a modified Whittaker equation. (English) Zbl 1030.34001
Fractional divided differences and the solution of differential equations of fractional order. (English) Zbl 0956.34007
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. (English) Zbl 0924.34008
Mathematics in Science and Engineering. 198. San Diego, CA: Academic Press. xxiv, 340 p. (1999).
Solution of some weight problems for the Riemann-Liouville and Weyl operators. (English) Zbl 0931.42008
Reviewer: L.Pick (Praha)
Method for finding \(D_z^{-n}\log^kz\) via fractional calculus and psi functions. (English) Zbl 0981.26008
Reviewer: S.L.Kalla (Kuwait)
Fractional calculus, Gegenbauer transformations, and integral equations. (English) Zbl 0834.44006
Reviewer: Robert G.Buschman (Langlois)
On the fractional integral of Weyl in \(L^ p\). (English) Zbl 0790.26005
Reviewer: C.Martínez (Valencia)
Generalized fractional calculus and applications. (English) Zbl 0882.26003
Pitman Research Notes in Mathematics Series. 301. Harlow: Longman Scientific & Technical. New York: John Wiley & Sons. x, 388 p. (1994).
Reviewer: S.L.Kalla (Kuwait)
Generalized fractional calculus based upon composition of some basic operators. (English) Zbl 0790.26004
Kalia, R. N. (ed.), Recent advances in fractional calculus. A collection of papers. Sauk Rapids, MN: Global Publishing Company. Global Research Notes Series in Mathematics. 145-178 (1993).
Reviewer: R.N.Kalia (St.Cloud)
An introduction to the fractional calculus and fractional differential equations. (English) Zbl 0789.26002
New York: John Wiley & Sons, Inc.. xiii, 366 p. (1993).
Reviewer: Ram Kishore Saxena (Jodhpur)
MSC:
26A33
On the multidimensional fractional differintegrals of Riemann-Liouville and Weyl types. (English) Zbl 0761.26010
Reviewer: R.N.Kalia (St.Cloud)
An essence of Nishimoto’s fractional calculus (Calculus in the 21st century). Integrations and differentiations of arbitrary order. (English) Zbl 0798.26007
Koriyama (Japan): Descartes Press Co. xi, 208 p. (1991).
Reviewer: Ram Kishore Saxena (Jodhpur)
On a weighted inequality of Hardy type for derivatives of higher order. (English. Russian original) Zbl 0705.26014
Proc. Steklov Inst. Math. 187, 205-220 (1990); translation from Tr. Mat. Inst. Steklova 187, 178-190 (1989).
Reviewer: P.Gurka
Riemann-Liouville and Weyl fractional integral operators for generalized functions. (English) Zbl 0978.46022
Reviewer: P.K.Banerji (Jodhpur)
Norm inequalities for integral operators on cones. (English) Zbl 0767.47014
Reviewer: L.Pick (Praha)
Fractional calculus (Volume III). Integrations and differentiations of arbitrary order. (English) Zbl 0798.26005
Koriyama: Descartes Press Co. xii, 202 p. (1989).
Reviewer: Ram Kishore Saxena (Jodhpur)
The multidimensional Holmgren-Riesz transformation and fractional differintegrals of Riemann-Liouville and Weyl types. (English) Zbl 0698.44003
Univalent functions, fractional calculus, and their applications, 355-370 (1989).
Reviewer: Robert G.Buschman (Langlois)
Interpolated Fourier transforms. (English) Zbl 0695.42006
Reviewer: A.N.Srivastava
Weighted inequalities of Hardy type for higher order derivatives, and their applications. (English. Russian original) Zbl 0674.26008
Sov. Math., Dokl. 38, No. 2, 389-393 (1989); translation from Dokl. Akad. Nauk SSSR 302, No. 5, 1059-1062 (1988).
Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators. (English) Zbl 0664.26002
Reviewer: R.N.Kalia
Fractional calculus of orders 1/2 and 1/3 of elementary functions. (English) Zbl 0655.26006
Reviewer: R.N.Kalia
MSC:
26A33
The fractional calculus and its role in the synthesis of special functions. I. (English) Zbl 0653.26008
Reviewer: R.N.Kalia
MSC:
26A33
A Mellin transform approach to fractional calculus on (0,\(\infty)\). (English) Zbl 0632.44001
Fractional calculus, Proc. Workshop, Ross Priory, Univ. Strathclyde/Engl. 1984, Res. Notes Math. 138, 99-139 (1985).
Reviewer: E.Gesztelyi
A third index law for fractional integrals and derivatives. (English) Zbl 0615.26006
Fractional calculus, Proc. Workshop, Ross Priory, Univ. Strathclyde/Engl. 1984, Res. Notes. Math. 138, 63-74 (1985).
Reviewer: K.Yoshinaga
MSC:
26A33
\(L^ p\)-estimates for fractional integrals - new proofs of the Hardy- Littlewood-Sobolev theorems. (English) Zbl 0598.26017
MSC:
26A33
On composition of certain fractional integral operators. (English) Zbl 0554.26006
Reviewer: K.Yoshinaga
On some generalisations of the Riemann-Liouville and Weyl fractional integrals and their applications. (English) Zbl 0466.26004
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