Edit Profile (opens in new tab) Nishimoto, Katsuyuki Compute Distance To: Compute Author ID: nishimoto.katsuyuki Published as: Nishimoto, Katsuyuki; Nishimoto, K. External Links: dblp · GND Documents Indexed: 316 Publications since 1983, including 6 Books 1 Contribution as Editor Co-Authors: 49 Co-Authors with 145 Joint Publications 1,221 Co-Co-Authors all top 5 Co-Authors 172 single-authored 34 Tu, Shih-Tong 31 de Romero, Susana Salinas 15 Matera, Josefina 15 Owa, Shigeyoshi 15 Srivastava, Hari Mohan 14 Lin, Shyder 11 Fuenmayor, Marleny 11 Miyakoda, Tsuyako 9 Prieto, Ana Isolina 9 Wang, Pinyu 8 Saxena, Ram Kishore 8 Sekine, Tadayuki 5 Kalla, Shyam Lal 4 Lin, Ming-Lai 3 Chyan, Ding-Kuo 3 Sohi, Nirmal Singh 3 Wu, Tsu-Chen 3 Yen, Chen-Te 2 Cho, Nak Eun 2 Galué, Leda 2 Jaw, Shing-Jong 2 Kobayashi, Tetsuo 2 Parihar, Champa Lal 2 Purohit, Manju 2 Yang, Ching-Chow 1 Al Lamy, Raad J. K. 1 Alawneh, Ahmed D. 1 Altintas, Osman 1 Chen, I-Chun 1 de Duran, Judith Aular 1 Dixit, Kaushal Kishore 1 González Rodríguez, José Manuel 1 Goyal, Som Prakash 1 Guerra, José Antonio 1 Jaimini, B. B. 1 Kumar, Vinod 1 Ling, Wei-Chich 1 Odibat, Zaid M. 1 Odibet, Zaid 1 Parashar, Alka 1 Prieto, Ana L. 1 Salina de Romero, S. 1 Shyu, Jaw-Shian 1 Srivastava, H. H. 1 Suárez de Guerra, Marijna 1 Tseng, Tseng-Chuan 1 Tu, Shi-Tong 1 Wu, Jyi Feng 1 Yaguchi, Teruo all top 5 Serials 212 Journal of Fractional Calculus 67 The Journal of the College of Engineering. Series B 2 Bulletin of the Calcutta Mathematical Society 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Hiroshima Mathematical Journal 1 Simon Stevin 1 Tamkang Journal of Mathematics 1 Revista Técnica de la Facultad de Ingenieria 1 Revista de la Academia Canaria de Ciencias 1 Serdica 1 Advances in Applied Clifford Algebras 1 Taiwanese Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 278 Real functions (26-XX) 108 Ordinary differential equations (34-XX) 67 Special functions (33-XX) 44 Functions of a complex variable (30-XX) 22 Partial differential equations (35-XX) 21 Number theory (11-XX) 12 Sequences, series, summability (40-XX) 9 Integral equations (45-XX) 6 Integral transforms, operational calculus (44-XX) 3 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 297 times in 147 Documents Cited by ▼ Year ▼ An essence of Nishimoto’s fractional calculus (Calculus in the 21st century). Integrations and differentiations of arbitrary order. Zbl 0798.26007Nishimoto, Katsuyuki 41 1991 Some fractional differintegral equations. Zbl 0599.30026Srivastava, H. M.; Owa, Shigeyoshi; Nishimoto, Katsuyuki 30 1985 Fractional calculus. Integrations and differentiations of arbitrary order. Zbl 0605.26006Nishimoto, Katsuyuki 27 1984 \(N\)-fractional calculus of generalized Mittag-Leffler functions. Zbl 1195.26027Saxena, R. K.; Nishimoto, Katsuyuki 22 2010 Certain classes of infinite series summable by means of fractional calculus. Zbl 0651.33002Nishimoto, Katsuyuki; Srivastava, H. M. 14 1989 A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Zbl 1088.34004Lin, Shy-Der; Ling, Wei-Chich; Nishimoto, Katsuyuki; Srivastava, H. M. 12 2005 Fractional calculus (Volume III). Integrations and differentiations of arbitrary order. Zbl 0798.26005Nishimoto, Katsuyuki 12 1989 Applications of fractional calculus to ordinary and partial differential equations of the second order. Zbl 0797.35026Tu, Shih-Tong; Nishimoto, Katsuyuki; Jaw, Shing-Jong; Lin, Shy-Der 7 1993 Kummer’s twenty-four functions and \(N\)-fractional calculus. Zbl 0886.34001Nishimoto, Katsuyuki 6 1997 Explicit solutions of some general families of ordinary and partial differential equations associated with the Bessel equation by means of fractional calculus. Zbl 1087.34001Lin, Shy-Der; Shyu, Jaw-Shian; Nishimoto, Katsuyuki; Srivastava, H. M. 5 2004 \(N\)-method to a generalized associated Legendre equation. Zbl 0915.34008Lin, Shy-Der; Nishimoto, K. 4 1998 New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003Lin, Shy-Der; Nishimoto, Katsuyuki 4 2000 Fractional integral formula for the \(H\)-function. Zbl 0826.33007Saxena, R. K.; Nishimoto, Katsuyuki 4 1994 Fractional calculus of functions of several variables. Zbl 0707.26009Nishimoto, Katsuyuki 4 1989 Application of fractional calculus in solving certain classes of Fuchsian differential equations. Zbl 0728.34005Nishimoto, Katsuyuki; Srivastava, H. M.; Tu, Shih-Tong 4 1991 An application of Riemann-Liouville operator in the unification of certain fractional functional relations. Zbl 0896.33008Nishimoto, Katsuyuki; Saxena, R. K. 4 1991 Solutions of some second-order linear differential equations by means of fractional calculus. Zbl 0745.34009Nishimoto, Katsuyuki; Srivastava, H. M.; Tu, Shih-Tong 4 1992 Some integral forms for a generalized zeta function. Zbl 1018.11043Nishimoto, Katsuyuki; Yen, Chen-E.; Lin, Ming-Lai 3 2002 An integral form for a generalized zeta function. Zbl 1018.11044Yen, Chen-E.; Lin, Ming-Lai; Nishimoto, Katsuyuki 3 2002 \(N\)-fractional differintegral of generalized hypergeometric function. Zbl 0958.33003de Romero, Susana Salinas; Prieto, Ana; Nishimoto, Katsuyuki 3 1999 \(N\)-fractional calculus operator \({\mathcal N}^ \nu\) method to nonhomogeneous and homogeneous Whittaker equations. I. Zbl 0862.34007Nishimoto, Katsuyuki; de Romero, Susana Salinas 3 1996 Applications of N-transformation and N-fractional calculus method to nonhomogeneous Bessel equations. I. Zbl 0839.34013Nishimoto, Katsuyuki 3 1995 Fractional calculus (Volume II). Integrations and differentiations of arbitrary order. Zbl 0702.26011Nishimoto, Katsuyuki 3 1987 \(N\)-fractional calculus operator \(N^\nu\) method to nonhomogeneous and homogeneous Whittaker equations. II: Some illustrative examples. Zbl 0910.34008de Romero, Susana Salinas; Nishimoto, Katsuyuki 3 1997 An elementary proof of a generalization of a certain functional relation derived by means of fractional calculus. Zbl 0849.33009Srivastava, H. M.; Nishimoto, Katsuyuki 3 1992 On Nishimoto’s fractional calculus operator \({\mathcal N}^ \nu\). (On an action group). Zbl 0792.30028Nishimoto, Katsuyuki 2 1993 \(N\)-method to the homogeneous Whittaker equations. Zbl 0959.34008Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I. 2 1999 \(N\)-method to the homogeneous Whittaker equations (revise and supplement). Zbl 0959.34009Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I. 2 1999 Operator \({\mathcal N}^ \nu\) method to nonhomogeneous Gauss and Bessel equations. Zbl 0862.34006Nishimoto, Katsuyuki 2 1996 Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki 2 2002 Some differintegral formulas for power, composite and rational functions. Zbl 1137.26001Lin, Shy-Der; Nishimoto, Katsuyuki; Miyakoda, Tsuyako; Srivastava, H. M. 2 2007 Negative power series solutions for a class of differential equations including the ones of Legendre and Chebyshev. Zbl 1131.26309Odibet, Zaid; Al-Lamy, Raad; Nishimoto, Katsuyuki 2 2005 A note on certain fractional operator. Zbl 0754.30009Owa, Shigeyoshi; Nishimoto, Katsuyuki; Lee, Sang Keun; Cho, Nak Eun 2 1991 Fractional calculus and its applications to the non-homogeneous Gauss’ equations. Zbl 0633.34021Nishimoto, K. 2 1987 On a fractional differintegral equation. Zbl 0599.30028Owa, Shigeyoshi; Nishimoto, Katsuyuki 2 1983 Application of fractional calculus to infinite sums. Zbl 0798.26009Galué, L.; Kalla, Shyam L.; Nishimoto, K. 2 1992 N-fractional calculus of the power and logarithmic functions and some identities (Continue). Zbl 1129.26301Nishimoto, Katsuyuki 1 2002 Solutions to an Euler’s equation by means of \(N\)-fractional calculus. Zbl 1195.26023Nishimoto, Katsuyuki 1 2010 \(N\)-method to nearly simple harmonic vibration equations. Zbl 0956.34002Nishimoto, Katsuyuki 1 1999 \(N\)-method to fractional differintegral equations \(\phi_{\pm 3/4}+\phi\cdot a=f (a\not=0)\). Zbl 0959.34007Miyakoda, Tsuyako; Nishimoto, Katsuyuki 1 1999 \(N\)-method to nearly simple harmonic vibration equations (continued). Zbl 0956.34003Nishimoto, K.; de Romero, Susana S. 1 2000 \(N\)-method to nearly simple harmonic vibration equation (investigation of the solutions). Zbl 1046.34066Nishimoto, Katsuyuki 1 2001 On some infinite sums derived by N-fractional calculus. Zbl 1004.26004Nishimoto, Katsuyuki; Chyan, Ding-Kuo; Lin, Shy-Der; Tu, Shih-Tong 1 2001 N-method to an almost free damping vibration equation. Zbl 0968.34005Miyakoda, T.; Nishimoto, K. 1 2000 Application of fractional calculus to ordinary differential equations of Fuchs type. Zbl 0689.34002Nishimoto, Katsuyuki; Kalla, Shyam L. 1 1989 \(N\)-fractional calculus of some multiple power functions and some identities. Zbl 1157.26308Nishimoto, Katsuyuki; Miyakoda, Tsuyako 1 2008 Application of fractional calculus to a third order linear ordinary differential equation. Zbl 0675.34003Nishimoto, Katsuyuki; Kalla, Shyam L. 1 1988 N-fractional calculus operator \({\mathcal N}^\nu\) method to nonhomogeneous Fukuhara equations. I. Zbl 0932.34001Nishimoto, K.; de Durán, Judith A.; Galué, Leda 1 1996 Unification of the integrals and derivatives (A serendipity in fractional calculus). Zbl 0876.26008Nishimoto, Katsuyuki 1 1994 Infinite sums derived by the fractional calculus of some logarithmic functions (A serendipity in fractional calculus). Zbl 0876.26009Nishimoto, Katsuyuki 1 1994 Some properties of N-transformation. Zbl 0845.44002Nishimoto, Katsuyuki 1 1995 Applications of N-transformation to some linear ordinary differential equations. Zbl 0839.34012Nishimoto, Katsuyuki 1 1995 Some theorems for N-fractional calculus of logarithmic functions. I. Zbl 1033.26010Nishimoto, Katsuyuki 1 2002 Ring and field produced from the set of N-fractional calculus operator. Zbl 1078.26503Nishimoto, Katsuyuki 1 2003 Some multiple infinite sums derived from the \(N\)-fractional calculus of some power functions. Zbl 1054.40001Nishimoto, Katsuyuki; de Romero, Susana S. 1 2003 Fractional calculus (Calculus in the 21st century) (Volume IV). Integrations and differentiations of arbitrary order. Zbl 0798.26006Nishimoto, Katsuyuki 1 1991 Nishimoto’s fractional calculus of elementary functions. Zbl 0743.33003Nishimoto, Katsuyuki 1 1990 An application of fractional calculus to the non-homogeneous Gauss’ equations. Zbl 0652.34002Nishimoto, Katsuyuki 1 1987 Use of fractional calculus to solve certain linear differential equations. Zbl 0668.34012Nishimoto, Katsuyuki; Kalla, Shyam L. 1 1989 On a half order’s integral equation \(\alpha fz=f_{-}\) (Volterra type) and simultaneous half order’s differintegral equations. Zbl 0599.30027Nishimoto, Katsuyuki 1 1983 Solutions of homogeneous Gauss equations, which have a logarithmic function, in fractional calculus. Zbl 0807.34003Nishimoto, Katsuyuki 1 1994 On the fractional calculus of functions \((cz-a)^ \beta\) and \(\log(cz- a)\). Zbl 0827.26008Tu, Shih-Tong; Nishimoto, Katsuyuki 1 1994 Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method. Zbl 0807.34005Tu, Shih-Tong; Lin, Shy-Der; Nishimoto, Katsuyuki 1 1994 On the two-dimensional Erdélyi-Kober operators of Weyl type. Zbl 0698.44002Nishimoto, K.; Saxena, R. K. 1 1990 Applications of fractional calculus to Gauss type partial differential equations. Zbl 0702.35056Nishimoto, Katsuyuki 1 1989 Evaluation of the sum of powers of natural numbers by means of fractional calculus. Zbl 0727.11007Nishimoto, Katsuyuki; Srivastava, H. M. 1 1991 Operator \(N^\nu\) method to a generalized linear second order homogeneous ordinary differential equation. Zbl 0893.34005Nishimoto, Katsuyuki 1 1997 A generalization of Gauss’ equation by the fractional calculus method. Zbl 0897.34005Nishimoto, Katsuyuki 1 1991 A Watson type integral transformation of test functions of exponential growth and negative type. Zbl 0892.46043Nishimoto, Katsuyuki; González Rodríguez, José M. 1 1991 On Nishimoto’s fractional calculus (operator \(N^\nu\), inverse of Nishimoto’s transformation and some applications). Zbl 0917.26008Nishimoto, K. 1 1995 Some families of infinite series summable by means of fractional calculus. Zbl 1027.26006Nishimoto, K.; Chen, I-Chun; Tu, Shih-Tong 1 2002 Fractional calculus method to a generalized linear third order ordinary differential equation of Fuchs type. Zbl 0784.34002Nishimoto, Katsuyuki 1 1992 A generalization of Legendre’s equation by fractional calculus method. Zbl 0784.34001Lin, Shy-Der; Tu, Shih-Tong; Nishimoto, K. 1 1992 A generalization of Jacobi’s equation by fractional calculus method. Zbl 0784.34003Sohi, N. S.; Singh, L. P.; Nishimoto, K. 1 1992 Power functions in fractional calculus of Nishimoto and that of Lacroix and Riemann-Liouville. Zbl 0790.26006Nishimoto, Katsuyuki 1 1992 On the fractional calculus of functions \((a-z)^ \beta\) and \(\log(a-z)\). Zbl 0848.26004Nishimoto, Katsuyuki 1 1993 Complementary functions in Nishimoto’s fractional calculus. Zbl 0781.34009Nishimoto, Katsuyuki; Tu, Shih-Tong 1 1993 A note on a certain fractional integral formula. Zbl 0848.26005Srivastava, H. M.; Nishimoto, Katsuyuki 1 1993 Examinations for some doubly infinite sums derived by means of \(N\)-fractional calculus. Zbl 1105.26002Nishimoto, K.; de Romero, Susana S.; Prieto, Ana I. 1 2004 Numerical examinations for some mixed and double finite sums obtained by means of \(N\)-fractional calculus. Zbl 1104.26008Nishimoto, K.; de Romero, Susana S.; Fuenmayor, Marleny 1 2004 Examinations for some doubly infinite, finite and mixed sums. Zbl 1105.26006Nishimoto, Katsuyuki 1 2004 Some families of infinite series summable by means of fractional calculus. Zbl 0743.33005Nishimoto, Katsuyuki; Sekine, Tadayuki; Srivastava, H. H. 1 1992 Some equalities and \(N\)-fractional calculus for Riemann’s zeta function. Zbl 1221.26010Nishimoto, Katsuyuki 1 2001 \(N\)-fractional calculus of generalized Mittag-Leffler functions. Zbl 1195.26027Saxena, R. K.; Nishimoto, Katsuyuki 22 2010 Solutions to an Euler’s equation by means of \(N\)-fractional calculus. Zbl 1195.26023Nishimoto, Katsuyuki 1 2010 \(N\)-fractional calculus of some multiple power functions and some identities. Zbl 1157.26308Nishimoto, Katsuyuki; Miyakoda, Tsuyako 1 2008 Some differintegral formulas for power, composite and rational functions. Zbl 1137.26001Lin, Shy-Der; Nishimoto, Katsuyuki; Miyakoda, Tsuyako; Srivastava, H. M. 2 2007 A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Zbl 1088.34004Lin, Shy-Der; Ling, Wei-Chich; Nishimoto, Katsuyuki; Srivastava, H. M. 12 2005 Negative power series solutions for a class of differential equations including the ones of Legendre and Chebyshev. Zbl 1131.26309Odibet, Zaid; Al-Lamy, Raad; Nishimoto, Katsuyuki 2 2005 Explicit solutions of some general families of ordinary and partial differential equations associated with the Bessel equation by means of fractional calculus. Zbl 1087.34001Lin, Shy-Der; Shyu, Jaw-Shian; Nishimoto, Katsuyuki; Srivastava, H. M. 5 2004 Examinations for some doubly infinite sums derived by means of \(N\)-fractional calculus. Zbl 1105.26002Nishimoto, K.; de Romero, Susana S.; Prieto, Ana I. 1 2004 Numerical examinations for some mixed and double finite sums obtained by means of \(N\)-fractional calculus. Zbl 1104.26008Nishimoto, K.; de Romero, Susana S.; Fuenmayor, Marleny 1 2004 Examinations for some doubly infinite, finite and mixed sums. Zbl 1105.26006Nishimoto, Katsuyuki 1 2004 Ring and field produced from the set of N-fractional calculus operator. Zbl 1078.26503Nishimoto, Katsuyuki 1 2003 Some multiple infinite sums derived from the \(N\)-fractional calculus of some power functions. Zbl 1054.40001Nishimoto, Katsuyuki; de Romero, Susana S. 1 2003 Some integral forms for a generalized zeta function. Zbl 1018.11043Nishimoto, Katsuyuki; Yen, Chen-E.; Lin, Ming-Lai 3 2002 An integral form for a generalized zeta function. Zbl 1018.11044Yen, Chen-E.; Lin, Ming-Lai; Nishimoto, Katsuyuki 3 2002 Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki 2 2002 N-fractional calculus of the power and logarithmic functions and some identities (Continue). Zbl 1129.26301Nishimoto, Katsuyuki 1 2002 Some theorems for N-fractional calculus of logarithmic functions. I. Zbl 1033.26010Nishimoto, Katsuyuki 1 2002 Some families of infinite series summable by means of fractional calculus. Zbl 1027.26006Nishimoto, K.; Chen, I-Chun; Tu, Shih-Tong 1 2002 \(N\)-method to nearly simple harmonic vibration equation (investigation of the solutions). Zbl 1046.34066Nishimoto, Katsuyuki 1 2001 On some infinite sums derived by N-fractional calculus. Zbl 1004.26004Nishimoto, Katsuyuki; Chyan, Ding-Kuo; Lin, Shy-Der; Tu, Shih-Tong 1 2001 Some equalities and \(N\)-fractional calculus for Riemann’s zeta function. Zbl 1221.26010Nishimoto, Katsuyuki 1 2001 New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003Lin, Shy-Der; Nishimoto, Katsuyuki 4 2000 \(N\)-method to nearly simple harmonic vibration equations (continued). Zbl 0956.34003Nishimoto, K.; de Romero, Susana S. 1 2000 N-method to an almost free damping vibration equation. Zbl 0968.34005Miyakoda, T.; Nishimoto, K. 1 2000 \(N\)-fractional differintegral of generalized hypergeometric function. Zbl 0958.33003de Romero, Susana Salinas; Prieto, Ana; Nishimoto, Katsuyuki 3 1999 \(N\)-method to the homogeneous Whittaker equations. Zbl 0959.34008Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I. 2 1999 \(N\)-method to the homogeneous Whittaker equations (revise and supplement). Zbl 0959.34009Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I. 2 1999 \(N\)-method to nearly simple harmonic vibration equations. Zbl 0956.34002Nishimoto, Katsuyuki 1 1999 \(N\)-method to fractional differintegral equations \(\phi_{\pm 3/4}+\phi\cdot a=f (a\not=0)\). Zbl 0959.34007Miyakoda, Tsuyako; Nishimoto, Katsuyuki 1 1999 \(N\)-method to a generalized associated Legendre equation. Zbl 0915.34008Lin, Shy-Der; Nishimoto, K. 4 1998 Kummer’s twenty-four functions and \(N\)-fractional calculus. Zbl 0886.34001Nishimoto, Katsuyuki 6 1997 \(N\)-fractional calculus operator \(N^\nu\) method to nonhomogeneous and homogeneous Whittaker equations. II: Some illustrative examples. Zbl 0910.34008de Romero, Susana Salinas; Nishimoto, Katsuyuki 3 1997 Operator \(N^\nu\) method to a generalized linear second order homogeneous ordinary differential equation. Zbl 0893.34005Nishimoto, Katsuyuki 1 1997 \(N\)-fractional calculus operator \({\mathcal N}^ \nu\) method to nonhomogeneous and homogeneous Whittaker equations. I. Zbl 0862.34007Nishimoto, Katsuyuki; de Romero, Susana Salinas 3 1996 Operator \({\mathcal N}^ \nu\) method to nonhomogeneous Gauss and Bessel equations. Zbl 0862.34006Nishimoto, Katsuyuki 2 1996 N-fractional calculus operator \({\mathcal N}^\nu\) method to nonhomogeneous Fukuhara equations. I. Zbl 0932.34001Nishimoto, K.; de Durán, Judith A.; Galué, Leda 1 1996 Applications of N-transformation and N-fractional calculus method to nonhomogeneous Bessel equations. I. Zbl 0839.34013Nishimoto, Katsuyuki 3 1995 Some properties of N-transformation. Zbl 0845.44002Nishimoto, Katsuyuki 1 1995 Applications of N-transformation to some linear ordinary differential equations. Zbl 0839.34012Nishimoto, Katsuyuki 1 1995 On Nishimoto’s fractional calculus (operator \(N^\nu\), inverse of Nishimoto’s transformation and some applications). Zbl 0917.26008Nishimoto, K. 1 1995 Fractional integral formula for the \(H\)-function. Zbl 0826.33007Saxena, R. K.; Nishimoto, Katsuyuki 4 1994 Unification of the integrals and derivatives (A serendipity in fractional calculus). Zbl 0876.26008Nishimoto, Katsuyuki 1 1994 Infinite sums derived by the fractional calculus of some logarithmic functions (A serendipity in fractional calculus). Zbl 0876.26009Nishimoto, Katsuyuki 1 1994 Solutions of homogeneous Gauss equations, which have a logarithmic function, in fractional calculus. Zbl 0807.34003Nishimoto, Katsuyuki 1 1994 On the fractional calculus of functions \((cz-a)^ \beta\) and \(\log(cz- a)\). Zbl 0827.26008Tu, Shih-Tong; Nishimoto, Katsuyuki 1 1994 Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method. Zbl 0807.34005Tu, Shih-Tong; Lin, Shy-Der; Nishimoto, Katsuyuki 1 1994 Applications of fractional calculus to ordinary and partial differential equations of the second order. Zbl 0797.35026Tu, Shih-Tong; Nishimoto, Katsuyuki; Jaw, Shing-Jong; Lin, Shy-Der 7 1993 On Nishimoto’s fractional calculus operator \({\mathcal N}^ \nu\). (On an action group). Zbl 0792.30028Nishimoto, Katsuyuki 2 1993 On the fractional calculus of functions \((a-z)^ \beta\) and \(\log(a-z)\). Zbl 0848.26004Nishimoto, Katsuyuki 1 1993 Complementary functions in Nishimoto’s fractional calculus. Zbl 0781.34009Nishimoto, Katsuyuki; Tu, Shih-Tong 1 1993 A note on a certain fractional integral formula. Zbl 0848.26005Srivastava, H. M.; Nishimoto, Katsuyuki 1 1993 Solutions of some second-order linear differential equations by means of fractional calculus. Zbl 0745.34009Nishimoto, Katsuyuki; Srivastava, H. M.; Tu, Shih-Tong 4 1992 An elementary proof of a generalization of a certain functional relation derived by means of fractional calculus. Zbl 0849.33009Srivastava, H. M.; Nishimoto, Katsuyuki 3 1992 Application of fractional calculus to infinite sums. Zbl 0798.26009Galué, L.; Kalla, Shyam L.; Nishimoto, K. 2 1992 Fractional calculus method to a generalized linear third order ordinary differential equation of Fuchs type. Zbl 0784.34002Nishimoto, Katsuyuki 1 1992 A generalization of Legendre’s equation by fractional calculus method. Zbl 0784.34001Lin, Shy-Der; Tu, Shih-Tong; Nishimoto, K. 1 1992 A generalization of Jacobi’s equation by fractional calculus method. Zbl 0784.34003Sohi, N. S.; Singh, L. P.; Nishimoto, K. 1 1992 Power functions in fractional calculus of Nishimoto and that of Lacroix and Riemann-Liouville. Zbl 0790.26006Nishimoto, Katsuyuki 1 1992 Some families of infinite series summable by means of fractional calculus. Zbl 0743.33005Nishimoto, Katsuyuki; Sekine, Tadayuki; Srivastava, H. H. 1 1992 An essence of Nishimoto’s fractional calculus (Calculus in the 21st century). Integrations and differentiations of arbitrary order. Zbl 0798.26007Nishimoto, Katsuyuki 41 1991 Application of fractional calculus in solving certain classes of Fuchsian differential equations. Zbl 0728.34005Nishimoto, Katsuyuki; Srivastava, H. M.; Tu, Shih-Tong 4 1991 An application of Riemann-Liouville operator in the unification of certain fractional functional relations. Zbl 0896.33008Nishimoto, Katsuyuki; Saxena, R. K. 4 1991 A note on certain fractional operator. Zbl 0754.30009Owa, Shigeyoshi; Nishimoto, Katsuyuki; Lee, Sang Keun; Cho, Nak Eun 2 1991 Fractional calculus (Calculus in the 21st century) (Volume IV). Integrations and differentiations of arbitrary order. Zbl 0798.26006Nishimoto, Katsuyuki 1 1991 Evaluation of the sum of powers of natural numbers by means of fractional calculus. Zbl 0727.11007Nishimoto, Katsuyuki; Srivastava, H. M. 1 1991 A generalization of Gauss’ equation by the fractional calculus method. Zbl 0897.34005Nishimoto, Katsuyuki 1 1991 A Watson type integral transformation of test functions of exponential growth and negative type. Zbl 0892.46043Nishimoto, Katsuyuki; González Rodríguez, José M. 1 1991 Nishimoto’s fractional calculus of elementary functions. Zbl 0743.33003Nishimoto, Katsuyuki 1 1990 On the two-dimensional Erdélyi-Kober operators of Weyl type. Zbl 0698.44002Nishimoto, K.; Saxena, R. K. 1 1990 Certain classes of infinite series summable by means of fractional calculus. Zbl 0651.33002Nishimoto, Katsuyuki; Srivastava, H. M. 14 1989 Fractional calculus (Volume III). Integrations and differentiations of arbitrary order. Zbl 0798.26005Nishimoto, Katsuyuki 12 1989 Fractional calculus of functions of several variables. Zbl 0707.26009Nishimoto, Katsuyuki 4 1989 Application of fractional calculus to ordinary differential equations of Fuchs type. Zbl 0689.34002Nishimoto, Katsuyuki; Kalla, Shyam L. 1 1989 Use of fractional calculus to solve certain linear differential equations. Zbl 0668.34012Nishimoto, Katsuyuki; Kalla, Shyam L. 1 1989 Applications of fractional calculus to Gauss type partial differential equations. Zbl 0702.35056Nishimoto, Katsuyuki 1 1989 Application of fractional calculus to a third order linear ordinary differential equation. Zbl 0675.34003Nishimoto, Katsuyuki; Kalla, Shyam L. 1 1988 Fractional calculus (Volume II). Integrations and differentiations of arbitrary order. Zbl 0702.26011Nishimoto, Katsuyuki 3 1987 Fractional calculus and its applications to the non-homogeneous Gauss’ equations. Zbl 0633.34021Nishimoto, K. 2 1987 An application of fractional calculus to the non-homogeneous Gauss’ equations. Zbl 0652.34002Nishimoto, Katsuyuki 1 1987 Some fractional differintegral equations. Zbl 0599.30026Srivastava, H. M.; Owa, Shigeyoshi; Nishimoto, Katsuyuki 30 1985 Fractional calculus. Integrations and differentiations of arbitrary order. Zbl 0605.26006Nishimoto, Katsuyuki 27 1984 On a fractional differintegral equation. Zbl 0599.30028Owa, Shigeyoshi; Nishimoto, Katsuyuki 2 1983 On a half order’s integral equation \(\alpha fz=f_{-}\) (Volterra type) and simultaneous half order’s differintegral equations. Zbl 0599.30027Nishimoto, Katsuyuki 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 178 Authors 42 Srivastava, Hari Mohan 16 Lin, Shyder 9 Tu, Shih-Tong 8 Wang, Pinyu 7 Owa, Shigeyoshi 6 Bansal, Manish Kumar 6 Ozturk, Okkes 6 Trujillo, Juan J. 5 Choi, Junesang 4 Kumar, Devendra 4 Markowski, Konrad Andrzej 4 Nishimoto, Katsuyuki 4 Purohit, Sunil Dutt 4 Singh, Jagdev 4 Tarasov, Vasily E. 3 Agarwal, Praveen 3 de Romero, Susana Salinas 3 Jolly, Nidhi 3 Kaczorek, Tadeusz 3 Mehrez, Khaled 3 Rao, Sabbavarapu Nageswara 3 Wu, Tsu-Chen 3 Yilmazer, Resat 2 Chen, Mingpo 2 Jain, Shilpi 2 Kalla, Shyam Lal 2 Khan, Nabiullah U. 2 Khan, Owais 2 Kilbas, Anatoliĭ Aleksandrovich 2 Machado, José António Tenreiro 2 Modanli, Mahmut 2 Morita, Tohru 2 Nieto Roig, Juan Jose 2 Podlubny, Igor 2 Rassias, Themistocles Michael 2 Rogosin, Sergei V. 2 Sajewski, Łukasz 2 Sato, Ken’ichi 2 Saxena, Ram Kishore 2 Singh, Gurmej 2 Sooppy Nisar, Kottakkaran 2 Srivastava, Rekha 2 Suthar, Daya Lal 2 Torres, Delfim Fernando Marado 2 Vacaru, Sergiu Ion 1 Ahmadian, Ali 1 Ahmadkhanlu, Asghar 1 Akgül, Ali 1 Al-Hossain, Abdullah Y. 1 Al-Janaby, Hiba Fawzi 1 Al-Saqabi, Bader N. 1 Ali, Ismail 1 Alzer, Horst 1 Anderson, P. J. 1 Araci, Serkan 1 Ashyralyev, Allaberen 1 Aslam, Muhammad 1 Băleanu, Dumitru I. 1 Bao, Weimin 1 Baricz, Árpád 1 Bazsó, András 1 Benzaouia, Abdellah 1 Bhatter, Sanjay 1 Bonilla, Blanca 1 Butkovskiĭ, Anatoliĭ Grigor’evich 1 Chand, Mehar 1 Chang, Li-Fen 1 Chao, Yi-Ting 1 Chauhan, Jignesh Pravin 1 Chen, Kungyu 1 Chen, Shaozhu 1 Chyan, Ding-Kuo 1 Dave, B. I. 1 Debbi, Latifa 1 Distefano, Salvatore 1 El Hajjaji, Ahmed 1 Fugère, Benoît-Jean 1 Gaboury, Sébastien 1 Galhano, Alexandra M. S. F. 1 García-Fiñana, Marta 1 Ghanim, Firas 1 Gong, Chunye 1 Gou, Yida 1 Grillo, Alfio 1 Habenom, Haile 1 Harjule, Priyanka 1 Hayek, Nácere 1 Henderson, Johnny Lee 1 Hryniów, Krzysztof 1 Hsieh, Tsai-Ming 1 Huang, Guo 1 Huang, Yu-Tan 1 Ibrahim, Rabha Waell 1 Iguchi, Kazumoto 1 Irmak, Huseyin 1 Jaimini, B. B. 1 Jamiai, Ismail 1 Jana, Ranjan Kumar 1 Jangid, Kamlesh 1 Jankov, Dragana ...and 78 more Authors all top 5 Cited in 75 Serials 17 Applied Mathematics and Computation 11 Journal of Mathematical Analysis and Applications 7 Computers & Mathematics with Applications 5 Applied Mathematics Letters 5 Integral Transforms and Special Functions 4 Abstract and Applied Analysis 4 Fractional Calculus & Applied Analysis 4 International Journal of Applied Mathematics and Computer Science 4 Fractional Differential Calculus 4 International Journal of Applied and Computational Mathematics 3 Journal of Computational and Applied Mathematics 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Studies in Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Signal Processing 2 Computational Mathematics and Mathematical Physics 2 Russian Journal of Mathematical Physics 2 Mathematical Problems in Engineering 2 Advances in Difference Equations 2 Applications and Applied Mathematics 2 East Asian Mathematical Journal 2 Journal of Applied Nonlinear Dynamics 2 Mathematics 1 International Journal of Modern Physics B 1 International Journal of Theoretical Physics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Chaos, Solitons and Fractals 1 The Journal of the Indian Mathematical Society. New Series 1 Kybernetes 1 Kyungpook Mathematical Journal 1 Nagoya Mathematical Journal 1 Circuits, Systems, and Signal Processing 1 Physica D 1 Applied Numerical Mathematics 1 Statistics 1 Neural Networks 1 Journal of Applied Mathematics and Stochastic Analysis 1 Multidimensional Systems and Signal Processing 1 Annals of Physics 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Archives of Control Sciences 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Filomat 1 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 Mathematics and Mechanics of Solids 1 The Ramanujan Journal 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics and Computing 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Science China. Information Sciences 1 Advances in Pure and Applied Mathematics 1 Functional Analysis, Approximation and Computation 1 Journal of Mathematical Extension 1 Palestine Journal of Mathematics 1 Problemy Analiza. Issues of Analysis 1 Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 Transactions of A. Razmadze Mathematical Institute 1 AIMS Mathematics all top 5 Cited in 31 Fields 87 Real functions (26-XX) 61 Special functions (33-XX) 47 Ordinary differential equations (34-XX) 16 Partial differential equations (35-XX) 14 Functions of a complex variable (30-XX) 10 Integral transforms, operational calculus (44-XX) 10 Systems theory; control (93-XX) 9 Numerical analysis (65-XX) 8 Number theory (11-XX) 7 Operator theory (47-XX) 6 Integral equations (45-XX) 5 Combinatorics (05-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year