Journal of Fractional Calculus Short Title: J. Fractional Calc. Publisher: Descartes Press, Koriyama ISSN: 0918-5402 Comments: Journal; No longer indexed Documents Indexed: 406 Publications (1992–2010) all top 5 Latest Issues 37 (2010) 36 (2009) 35 (2009) 34 (2008) 33 (2008) 32 (2007) 31 (2007) 30 (2006) 29 (2006) 28 (2005) 26 (2004) 25 (2004) 24 (2003) 23 (2003) 22 (2002) 21 (2002) 20 (2001) 19 (2001) 18 (2000) 17 (2000) 16 (1999) 15 (1999) 14 (1998) 13 (1998) 12 (1997) 11 (1997) 10 (1996) 9 (1996) 8 (1995) 7 (1995) 6 (1994) 5 (1994) 4 (1993) 3 (1993) 2 (1992) 1 (1992) all top 5 Authors 212 Nishimoto, Katsuyuki 43 Tu, Shih-Tong 33 de Romero, Susana Salinas 24 Lin, Shyder 19 Saigo, Megumi 18 Srivastava, Hari Mohan 17 Matera, Josefina 15 Miyakoda, Tsuyako 15 Saxena, Ram Kishore 14 Wang, Pinyu 13 Chyan, Ding-Kuo 12 Fuenmayor, Marleny 11 Aouf, Mohamed Kamal 10 Kalla, Shyam Lal 9 Prieto, Ana Isolina 8 Banerji, Pradeep Kumar 6 Elzaidi, S. M. 6 Momani, Shaher M. 6 Wu, Tsu-Chen 5 Choi, Jaeho 5 Darwish, Hanan Elsayed 5 Galué, Leda 5 Hadid, Samir B. 5 McNaughton, Alastair 4 Chen, Mingpo 4 El-Sayed, Ahmed Mohamed Ahmed 4 Lin, Ming-Lai 4 Raina, Ravinder Krishna 4 Shawagfeh, Nabil T. 3 Al-Sayyad, Siham Jalal 3 Ali, Ismail 3 Deora, Yogendra 3 Elshahed, Moustafa 3 Gorenflo, Rudolf 3 Hsieh, Tsai-Ming 3 Kandil, Fatma M. 3 Kilbas, Anatoliĭ Aleksandrovich 3 Odibat, Zaid M. 3 Shamardan, Ali B. 3 Yakubovich, Semyon B. 3 Yen, Chen-Te 2 Al-Btoush, Rateb 2 Al-Khaled, Kamel M. 2 Arora, Harbans L. 2 Awad, Labib R. 2 Ben Adda, Fayçal 2 de Duran, Judith Aular 2 El-Ghaffar, A. Abd 2 Elmahdy, Emad E. 2 Furati, Khaled M. 2 Goyal, Som Prakash 2 Guerra, José Antonio 2 Hossen, H. M. 2 Jaimini, B. B. 2 Joharji, Najwa 2 Kumbhat, R. K. 2 Kung, Kuang-Yuan 2 Masaedeh, Basem S. 2 Moustafa, Osama L. 2 Parihar, Champa Lal 2 Purohit, Manju 2 Radwan, Abdelaziz Elazab Ali 2 Sohi, Nirmal Singh 2 Tatar, Nasser-eddine 2 Vyas, Dinesh N. 2 Yang, Sheng-Long 2 Zaghrout, Afaf A. S. 1 Abd-Elmalk, Hanan 1 Abou-Dina, Moustafa S. 1 Abou-Elnaga, Z. M. 1 Abu-Jaradeh, Nafiz D. 1 Agrawal, Rajani 1 Al Al-shikh, Sarah 1 Al-Bassam, Mohammed Ali 1 Al-Kasasbeh, Faisal 1 Al Lamy, Raad J. K. 1 Al-Naafa, M. Abdulaziz 1 Al-Saqabi, Bader N. 1 Al-Thumairi, A. I. 1 Alawneh, Ahmed D. 1 Aljarrah, Ahmad Ali 1 Arora, Kamal 1 Ateiwi, Ali Mahmud 1 Attalah, S. H. 1 Attiya, Adel A. 1 Awad, Adnan Mohammad 1 Azzam, Mufid M. 1 Bishay, S. S. 1 Campos, L. M. B. C. 1 Changchein, Jui-Tsan 1 Chin, Erh-Tsung 1 Delbosco, Domenico 1 El Gazzy, E. M. 1 El-Harby, Kamraa 1 El-Khazali, Reyad 1 El-Shahed, Mostafa 1 El-Sheikh Aly, M. M. A. 1 Elabbasy, Elmetwally M. 1 Elattar, H. E. 1 Elkhazendar, Marawan B. ...and 55 more Authors all top 5 Fields 334 Real functions (26-XX) 117 Ordinary differential equations (34-XX) 91 Special functions (33-XX) 39 Functions of a complex variable (30-XX) 27 Integral equations (45-XX) 26 Partial differential equations (35-XX) 22 Number theory (11-XX) 10 Integral transforms, operational calculus (44-XX) 9 Sequences, series, summability (40-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 543 times in 369 Documents Cited by ▼ Year ▼ Fractional calculus and function spaces. Zbl 0829.46018Delbosco, Domenico 38 1994 An existence result for a nonlocal fractional differential problem. Zbl 1101.34001Furati, Khaled M.; Tatar, Nasser-eddine 33 2004 Fractional order evolution equations. Zbl 0839.34069El-Sayed, A. M. A. 32 1995 Behavior of solutions for a weighted Cauchy-type fractional differential problem. Zbl 1131.26304Furati, Khaled M.; Tatar, Nasser-eddine 27 2005 Geometric interpretation of the fractional derivative. Zbl 0907.26005Ben Adda, Fayçal 27 1997 \(N\)-fractional calculus of generalized Mittag-Leffler functions. Zbl 1195.26027Saxena, R. K.; Nishimoto, Katsuyuki 24 2010 On generalized fractional calculus and its application to the solution of integro-differential equations. Zbl 0840.44002Al-Bassam, M. A.; Luchko, Yu. F. 23 1995 Controllability and observability for fractional control systems. Zbl 0964.93013Shamardan, A. B.; Moubarak, M. R. A. 20 1999 Local and global existence theorems on fractional integro-differential equations. Zbl 0967.45004Momani, Shaher M. 18 2000 Generalized fractional calculus of the \(H\)-function associated with the Appell function \(F_3\). Zbl 0984.33006Saxena, R. K.; Saigo, Megumi 18 2001 Fractional differential equations. Zbl 0781.34006Miller, Kenneth S. 17 1993 Some comparison results for integro-fractional differential inequalities. Zbl 1057.45003Momani, S. M.; Hadid, S. B. 15 2003 Local and global existence theorems on differential equations of non-integer order. Zbl 0839.34003Hadid, S. B. 13 1995 The decomposition method for fractional differential equations. Zbl 0956.34004Shawagfeh, N. T. 12 1999 Explicit solutions of certain ordinary differential equations by means of fractional calculus. Zbl 1039.34003Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M. 10 2001 Fractional differential-difference equations. Zbl 0888.34060El-Sayed, Ahmed M. A. 10 1996 Adomian decomposition method for solving Burgers equation with fractional derivative. Zbl 1057.35052El-Shahed, Moustafa 8 2003 Solutions of a class of ordinary and partial differential equations via fractional calculus. Zbl 0969.34008Tu, Shih-Tong; Lin, Shy-Der; Srivastava, H. M. 8 2000 Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. Zbl 1007.34004Lin, Shy-Der; Tu, Shih-Tong; Shivastava, H. M. 5 2002 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 Controllability of fractional nonlinear control system. Zbl 0964.93014Abd El-Ghaffar, A.; Moubarak, M. R. A.; Shamardan, A. B. 5 2000 Further results on an \(H\)-function generalized fractional calculus. Zbl 0786.33008Galué, Leda; Kalla, Shyam L.; Srivastava, H. M. 5 1993 Solution of a class of differintegral equations by means of Riemann-Liouville operator. Zbl 0838.34077Al-Saqabi, Bader N. 5 1995 New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003Lin, Shy-Der; Nishimoto, Katsuyuki 4 2000 Definite integral of fractional order for set-valued functions. Zbl 0894.26001Ibrahim, A.-G.; El-Sayed, Ahmed M. A. 4 1997 Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011Saigo, Megumi; Saxena, R. K. 4 1998 \(N\)-method to a generalized associated Legendre equation. Zbl 0915.34008Lin, Shy-Der; Nishimoto, K. 4 1998 Fractional integral formula for the \(H\)-function. Zbl 0826.33007Saxena, R. K.; Nishimoto, Katsuyuki 4 1994 On the existence of maximal and minimal solutions of differential equations of non-integer order. Zbl 0862.34008Hadid, S. B.; Masaedeh, B.; Momani, S. 4 1996 Finite Weyl fractional calculus and abstract fractional differential equations. Zbl 0862.34010El-Sayed, Ahmed M. A. 4 1996 Nyquist characteristics of a fractional order integrator. Zbl 0993.93023Ostalczyk, Piotr 3 2001 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 Fractional calculus and its applications involving bilateral expansions and multiple infinite sums. Zbl 1073.26002Lin, Shy-Der; Srivastas, H. M. 3 2004 \(N\)-fractional differintegral of generalized hypergeometric function. Zbl 0958.33003de Romero, Susana Salinas; Prieto, Ana; Nishimoto, Katsuyuki 3 1999 \(N\)-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 An application of generalized Leibniz rule to infinite sums. Zbl 0842.26005Al-Zamel, A.; Kalla, S. 3 1995 Applications of N-transformation and N-fractional calculus method to nonhomogeneous Bessel equations. I. Zbl 0839.34013Nishimoto, Katsuyuki 3 1995 On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 \(N\)-fractional calculus operator \({\mathcal N}^ \nu\) method to nonhomogeneous and homogeneous Whittaker equations. I. Zbl 0862.34007Nishimoto, Katsuyuki; de Romero, Susana Salinas 3 1996 On the existence of extremal solutions of fractional integro-differential equations. Zbl 0967.45005Momani, Shaher M.; El-Khazali, Reyad 2 2000 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 Unified fractional integral formulas for the multivariable \(H\)-function. III. Zbl 1008.33007Saigo, Megumi; Saxena, R. K. 2 2001 Some finite and infinite sums associated with the digamma and related functions. Zbl 1019.33002Lin, Shy-Der; Tu, Shih-Tong; Hsieh, Tsai-Ming; Srivastava, H. M. 2 2002 A study of dichotomy of linear systems of difference equations using the quadratic forms. Zbl 1080.39001Ateiwi, Ali Mahmud 2 2004 \(N\)-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 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 Application of fractional calculus to infinite sums. Zbl 0798.26009Galué, L.; Kalla, Shyam L.; Nishimoto, K. 2 1992 On Nishimoto’s fractional calculus operator \({\mathcal N}^ \nu\). (On an action group). Zbl 0792.30028Nishimoto, Katsuyuki 2 1993 Application of fractional calculus to the generation of special functions with complex parameters. Zbl 0790.33001Campos, L. M. B. C. 2 1993 A formula for the fractional integration and differentiation of \((a+bx)^ c\). Zbl 0858.26007Ross, Bertram 2 1994 Certain operators of fractional calculus and their applications associated with logarithmic and Digamma functions. Zbl 0881.26001Tu, Shih-Tong; Chyan, Ding-Kuo; Srivastava, H. M. 2 1996 Solution of a class of third order differential equations by fractional calculus. Zbl 0834.34002Kalla, Shyam L.; Guerra, José Antonio 2 1994 Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004Gorenflo, Rudolf; Kilbas, Anatoly A. 2 1995 Operator \({\mathcal N}^ \nu\) method to nonhomogeneous Gauss and Bessel equations. Zbl 0862.34006Nishimoto, Katsuyuki 2 1996 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 families of multiple infinite sums associated with the digamma and related functions. Zbl 1092.33003Lin, Shy-Der; Hsieh, Tsai-Ming; Srivastava, H. M. 1 2003 On the topological properties of the solution of differential inclusions and abstract control problems. Zbl 1051.34047Gomaa, A. M. 1 2003 N-method to an almost free damping vibration equation. Zbl 0968.34005Miyakoda, T.; Nishimoto, K. 1 2000 Some theorems for N-fractional calculus of logarithmic functions. I. Zbl 1033.26010Nishimoto, Katsuyuki 1 2002 Some infinite sums via N-fractional calculus. Zbl 1004.26006Wang, Pin-Yu; Wu, Tsu-Chen; 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 On certain fractional operators for certain subclass of prestarlike functions defined by Salagean operator. Zbl 1013.30008Aouf, M. K.; Al-amri, B. A. 1 2002 N-fractional calculus of the power and logarithmic functions and some identities (Continue). Zbl 1129.26301Nishimoto, Katsuyuki 1 2002 N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005Odibat, Zaid; Shawagfeh, Nabil 1 2002 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 On a class of linear integro-differential equations by fractional calculus. Zbl 1094.45003Ali, Ismail; Kalla, S. L. 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 multiple infinite sums and associated fractional differintegral formulas for power and composite functions. Zbl 1123.26007Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M. 1 2006 Solutions to an Euler’s equation by means of \(N\)-fractional calculus. Zbl 1195.26023Nishimoto, Katsuyuki 1 2010 Unified fractional integral formulas for the multivariable \(H\)-function. Zbl 0955.33008Saigo, Megumi; Saxena, R. K. 1 1999 Some properties of Legendre polynomials of fractional orders. Zbl 0955.33003Moustafa, Osama L. 1 1999 An algorithm for numerical solutions of fractional order differential equations. Zbl 0958.65081Momani, S.; Hadid, S. 1 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 Unified fractional integral formulas for the multivariable \(H\)-function. II. Zbl 1125.33305Saigo, Megumi; Saxena, R. K. 1 1999 \(N\)-fractional calculus operator \(N^\nu\) method applied to some second order nonhomogeneous equations. Zbl 0956.34005Galué, Leda 1 1999 A solution of generalized special differential equations by means of fractional calculus. Zbl 0959.34010Tu, Shih-Tong; Lin, Shy-Der; Chyan, Ding-Kuo; Huang, Yu-Tan 1 1999 Arbitrary order linear ordinary differintegral equations with polynomial coefficients. Zbl 0966.45005Ali, Ismail 1 2000 \(N\)-method to nearly simple harmonic vibration equations (continued). Zbl 0956.34003Nishimoto, K.; de Romero, Susana S. 1 2000 \(N\)-fractional calculus of some multiple power functions and some identities. Zbl 1157.26308Nishimoto, Katsuyuki; Miyakoda, Tsuyako 1 2008 Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. Zbl 1131.26305Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu 1 2005 Analytical solution of transient heat conduction in a two-dimensional cylindrical fin by means of separable variables. Zbl 1144.35392Kung, Kuang Yuan; Tu, Shih-Tong 1 2005 A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001Saigo, Megumi; Goyal, S. P.; Saxena, Sunil 1 1998 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 Extension of the Chebyshev’s equation of order \(p\) to the higher order by fractional calculus method. Zbl 0784.34005Tu, Shih-Tong; Changchein, Jui-Tsan 1 1992 An application of fractional calculus to generalize a second order differential equation of Nishimoto. Zbl 0784.34004Tu, Shih-Tong; Lin, Shy-Der 1 1992 Power functions in fractional calculus of Nishimoto and that of Lacroix and Riemann-Liouville. Zbl 0790.26006Nishimoto, Katsuyuki 1 1992 A generalized Jacobi’s differential equations. Zbl 0781.34011Tu, Shih-Tong; Tseng, Guor-Shyuh 1 1992 An application of fractional calculus to the solution of \((n+1)\)th-order ordinary and partial differential equations. Zbl 0781.34005de Durán, Judith Aular; Kalla, Shyam L. 1 1992 Fractional integral formula of the function \((\alpha z+\beta)^ a\). Zbl 0806.30004Vyas, D. N.; Banerji, P. K. 1 1992 On the fractional calculus of functions \((a-z)^ \beta\) and \(\log(a-z)\). Zbl 0848.26004Nishimoto, Katsuyuki 1 1993 \(N\)-fractional calculus of generalized Mittag-Leffler functions. Zbl 1195.26027Saxena, R. K.; Nishimoto, Katsuyuki 24 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 Some families of multiple infinite sums and associated fractional differintegral formulas for power and composite functions. Zbl 1123.26007Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M. 1 2006 Behavior of solutions for a weighted Cauchy-type fractional differential problem. Zbl 1131.26304Furati, Khaled M.; Tatar, Nasser-eddine 27 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 Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. Zbl 1131.26305Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu 1 2005 Analytical solution of transient heat conduction in a two-dimensional cylindrical fin by means of separable variables. Zbl 1144.35392Kung, Kuang Yuan; Tu, Shih-Tong 1 2005 An existence result for a nonlocal fractional differential problem. Zbl 1101.34001Furati, Khaled M.; Tatar, Nasser-eddine 33 2004 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 Fractional calculus and its applications involving bilateral expansions and multiple infinite sums. Zbl 1073.26002Lin, Shy-Der; Srivastas, H. M. 3 2004 A study of dichotomy of linear systems of difference equations using the quadratic forms. Zbl 1080.39001Ateiwi, Ali Mahmud 2 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 On a class of linear integro-differential equations by fractional calculus. Zbl 1094.45003Ali, Ismail; Kalla, S. L. 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 comparison results for integro-fractional differential inequalities. Zbl 1057.45003Momani, S. M.; Hadid, S. B. 15 2003 Adomian decomposition method for solving Burgers equation with fractional derivative. Zbl 1057.35052El-Shahed, Moustafa 8 2003 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 families of multiple infinite sums associated with the digamma and related functions. Zbl 1092.33003Lin, Shy-Der; Hsieh, Tsai-Ming; Srivastava, H. M. 1 2003 On the topological properties of the solution of differential inclusions and abstract control problems. Zbl 1051.34047Gomaa, A. M. 1 2003 Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. Zbl 1007.34004Lin, Shy-Der; Tu, Shih-Tong; Shivastava, H. M. 5 2002 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 Some finite and infinite sums associated with the digamma and related functions. Zbl 1019.33002Lin, Shy-Der; Tu, Shih-Tong; Hsieh, Tsai-Ming; Srivastava, H. M. 2 2002 Some theorems for N-fractional calculus of logarithmic functions. I. Zbl 1033.26010Nishimoto, Katsuyuki 1 2002 Some infinite sums via N-fractional calculus. Zbl 1004.26006Wang, Pin-Yu; Wu, Tsu-Chen; Tu, Shih-Tong 1 2002 On certain fractional operators for certain subclass of prestarlike functions defined by Salagean operator. Zbl 1013.30008Aouf, M. K.; Al-amri, B. A. 1 2002 N-fractional calculus of the power and logarithmic functions and some identities (Continue). Zbl 1129.26301Nishimoto, Katsuyuki 1 2002 N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005Odibat, Zaid; Shawagfeh, Nabil 1 2002 Generalized fractional calculus of the \(H\)-function associated with the Appell function \(F_3\). Zbl 0984.33006Saxena, R. K.; Saigo, Megumi 18 2001 Explicit solutions of certain ordinary differential equations by means of fractional calculus. Zbl 1039.34003Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M. 10 2001 Nyquist characteristics of a fractional order integrator. Zbl 0993.93023Ostalczyk, Piotr 3 2001 Unified fractional integral formulas for the multivariable \(H\)-function. III. Zbl 1008.33007Saigo, Megumi; Saxena, R. K. 2 2001 \(N\)-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 Local and global existence theorems on fractional integro-differential equations. Zbl 0967.45004Momani, Shaher M. 18 2000 Solutions of a class of ordinary and partial differential equations via fractional calculus. Zbl 0969.34008Tu, Shih-Tong; Lin, Shy-Der; Srivastava, H. M. 8 2000 Controllability of fractional nonlinear control system. Zbl 0964.93014Abd El-Ghaffar, A.; Moubarak, M. R. A.; Shamardan, A. B. 5 2000 New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003Lin, Shy-Der; Nishimoto, Katsuyuki 4 2000 On the existence of extremal solutions of fractional integro-differential equations. Zbl 0967.45005Momani, Shaher M.; El-Khazali, Reyad 2 2000 N-method to an almost free damping vibration equation. Zbl 0968.34005Miyakoda, T.; Nishimoto, K. 1 2000 Arbitrary order linear ordinary differintegral equations with polynomial coefficients. Zbl 0966.45005Ali, Ismail 1 2000 \(N\)-method to nearly simple harmonic vibration equations (continued). Zbl 0956.34003Nishimoto, K.; de Romero, Susana S. 1 2000 Controllability and observability for fractional control systems. Zbl 0964.93013Shamardan, A. B.; Moubarak, M. R. A. 20 1999 The decomposition method for fractional differential equations. Zbl 0956.34004Shawagfeh, N. T. 12 1999 \(N\)-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 Unified fractional integral formulas for the multivariable \(H\)-function. Zbl 0955.33008Saigo, Megumi; Saxena, R. K. 1 1999 Some properties of Legendre polynomials of fractional orders. Zbl 0955.33003Moustafa, Osama L. 1 1999 An algorithm for numerical solutions of fractional order differential equations. Zbl 0958.65081Momani, S.; Hadid, S. 1 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 Unified fractional integral formulas for the multivariable \(H\)-function. II. Zbl 1125.33305Saigo, Megumi; Saxena, R. K. 1 1999 \(N\)-fractional calculus operator \(N^\nu\) method applied to some second order nonhomogeneous equations. Zbl 0956.34005Galué, Leda 1 1999 A solution of generalized special differential equations by means of fractional calculus. Zbl 0959.34010Tu, Shih-Tong; Lin, Shy-Der; Chyan, Ding-Kuo; Huang, Yu-Tan 1 1999 Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011Saigo, Megumi; Saxena, R. K. 4 1998 \(N\)-method to a generalized associated Legendre equation. Zbl 0915.34008Lin, Shy-Der; Nishimoto, K. 4 1998 A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001Saigo, Megumi; Goyal, S. P.; Saxena, Sunil 1 1998 Commutativity of Leibniz rule in fractional calculus. Zbl 0947.26006Tu, Shih-Tong; Chyan, Ding-Kuo; Leu, Shing-Hwa 1 1998 Geometric interpretation of the fractional derivative. Zbl 0907.26005Ben Adda, Fayçal 27 1997 Definite integral of fractional order for set-valued functions. Zbl 0894.26001Ibrahim, A.-G.; El-Sayed, Ahmed M. A. 4 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 On convolution integrals associated with \(H\)-transforms. Zbl 0888.44003Raina, R. K.; Yakubovich, S. B.; Saigo, Megumi 1 1997 Fractional differential-difference equations. Zbl 0888.34060El-Sayed, Ahmed M. A. 10 1996 On the existence of maximal and minimal solutions of differential equations of non-integer order. Zbl 0862.34008Hadid, S. B.; Masaedeh, B.; Momani, S. 4 1996 Finite Weyl fractional calculus and abstract fractional differential equations. Zbl 0862.34010El-Sayed, Ahmed M. A. 4 1996 \(N\)-fractional calculus operator \({\mathcal N}^ \nu\) method to nonhomogeneous and homogeneous Whittaker equations. I. Zbl 0862.34007Nishimoto, Katsuyuki; de Romero, Susana Salinas 3 1996 Certain operators of fractional calculus and their applications associated with logarithmic and Digamma functions. Zbl 0881.26001Tu, Shih-Tong; Chyan, Ding-Kuo; Srivastava, H. M. 2 1996 Operator \({\mathcal N}^ \nu\) method to nonhomogeneous Gauss and Bessel equations. Zbl 0862.34006Nishimoto, Katsuyuki 2 1996 Kummer’s twenty-four functions in \(N\)-fractional calculus. Zbl 0883.34003Nishimoto, Katsuyuki 1 1996 Fourier transform and Nishimoto fractional calculus. Zbl 0913.34008Ben Adda, Fayçal 1 1996 Starlikeness and convexity of fractional calculus operators. Zbl 0880.30011Choi, Jae Ho; Kim, Yong Chan; Srivastava, H. M. 1 1996 On certain fractional operators for certain classes of multivalent functions with negative coefficients. Zbl 0886.30008Chen, Ming-Po; Aouf, M. K. 1 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 Some existence theorems on differential equations of generalized order through a fixed-point theorem. Zbl 0859.34004Hadid, S. B.; Ta’ani, A. A.; Momani, S. M. 1 1996 Fractional order evolution equations. Zbl 0839.34069El-Sayed, A. M. A. 32 1995 On generalized fractional calculus and its application to the solution of integro-differential equations. Zbl 0840.44002Al-Bassam, M. A.; Luchko, Yu. F. 23 1995 Local and global existence theorems on differential equations of non-integer order. Zbl 0839.34003Hadid, S. B. 13 1995 Solution of a class of differintegral equations by means of Riemann-Liouville operator. Zbl 0838.34077Al-Saqabi, Bader N. 5 1995 An application of generalized Leibniz rule to infinite sums. Zbl 0842.26005Al-Zamel, A.; Kalla, S. 3 1995 Applications of N-transformation and N-fractional calculus method to nonhomogeneous Bessel equations. I. Zbl 0839.34013Nishimoto, Katsuyuki 3 1995 On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004Gorenflo, Rudolf; Kilbas, Anatoly A. 2 1995 A general fractional integral formula. Zbl 0842.33006Agrawal, Rajni; Pareek, R. S.; Saigo, Megumi 1 1995 Application of fractional calculus to infinite sums. II. Zbl 0848.33006Galue, Leda 1 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 Applications of \(N\)-fractional calculus to infinite sums. Zbl 0854.26008de Romero, Susana Salinas; Kalla, Shyam L.; Yakubovich, S. B. 1 1995 On the two-dimensional generalized Weyl fractional calculus associated with two dimensional H-transforms. Zbl 0855.44004Saigo, Megumi; Saxena, R. K.; Ram, Jeta 1 1995 Fractional calculus and function spaces. Zbl 0829.46018Delbosco, Domenico 38 1994 Fractional integral formula for the \(H\)-function. Zbl 0826.33007Saxena, R. K.; Nishimoto, Katsuyuki 4 1994 A formula for the fractional integration and differentiation of \((a+bx)^ c\). Zbl 0858.26007Ross, Bertram 2 1994 Solution of a class of third order differential equations by fractional calculus. Zbl 0834.34002Kalla, Shyam L.; Guerra, José Antonio 2 1994 Solutions of homogeneous Gauss equations, which have a logarithmic function, in fractional calculus. Zbl 0807.34003Nishimoto, Katsuyuki 1 1994 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 479 Authors 29 Srivastava, Hari Mohan 16 Lin, Shyder 13 Balachandran, Krishnan 13 El-Sayed, Ahmed Mohamed Ahmed 12 Tatar, Nasser-eddine 11 Agarwal, Praveen 10 Machado, José António Tenreiro 9 Bai, Zhanbing 8 Furati, Khaled M. 8 Trujillo, Juan J. 8 Wang, Pinyu 7 Benchohra, Mouffak 7 Rogosin, Sergei V. 7 Yang, Liu 6 Bansal, Manish Kumar 6 Choi, Junesang 6 Kiryakova, Virginia S. 6 Sooppy Nisar, Kottakkaran 6 Suthar, Daya Lal 6 Tian, Yuansheng 6 Tu, Shih-Tong 5 Abdeljawad, Thabet 5 Băleanu, Dumitru I. 5 Bera, Rasajit K. 5 Chand, Mehar 5 Dehghan Takht Fooladi, Mehdi 5 Henderson, Johnny Lee 5 Kassim, Mohammed Dahan 5 Kilbas, Anatoliĭ Aleksandrovich 5 Liu, Lishan 5 Ouahab, Abdelghani 5 Panchal, Satish Kushaba 5 Rezapour, Shahram 5 Saha Ray, Santanu 5 Salem, Hussein A. 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A. 4 Hamani, Samira 4 Jain, Shilpi 4 Kokila, Jayakumar 4 Kumar, Devendra 4 Liu, Yuji 4 Momani, Shaher M. 4 Purohit, Sunil Dutt 4 Shen, Chunfang 4 Singh, Gurmej 3 Abbas, Syed 3 Ahmad, Ahmad M. 3 Alkandari, Maryam 3 Chen, Mingpo 3 de Romero, Susana Salinas 3 Etemad, Sina 3 Govindaraj, Venkatesan 3 Hanna, Latif A.-M. 3 Jolly, Nidhi 3 Mehrez, Khaled 3 Merad, Ahcene 3 Nishimoto, Katsuyuki 3 Ozturk, Okkes 3 Ray, Sumita Saha 3 Rida, Saad Zagloul 3 Rivero, Margarita 3 Saigo, Megumi 3 Saxena, Ram Kishore 3 Zhou, Hui 2 Akilandeeswari, Aruchamy 2 Ali, Arshad 2 Ali, Gauhar 2 Ali, Ismail 2 Al-saedi, Ahmed Eid Salem 2 Amsalu, Hafte 2 Araci, Serkan 2 Ardjouni, Abdelouaheb 2 Ben Adda, Fayçal 2 Bhatter, Sanjay 2 Bu, Weiping 2 Castaing, Charles 2 Chaudhuri, Kripa Sindhu 2 Chen, Anping 2 Chinchane, Vaijanath Laxmanrao 2 Cresson, Jacky 2 Dai, Xinjie 2 Fahad, Hafiz Muhammad 2 Fernandez, Arran 2 Gaafar, Fatma M. 2 Godet-Thobie, Christiane 2 Haeri, Mohammad 2 Kalla, Shyam Lal 2 Karapetyants, Nikolaĭ Karapetovich 2 Karimov, Erkinjon Tulkinovich 2 Khan, Nabiullah U. 2 Khan, Owais 2 Koroleva, Anna A. 2 Kumar, Surendra Shashi ...and 379 more Authors all top 5 Cited in 119 Journals 46 Applied Mathematics and Computation 26 Computers & Mathematics with Applications 20 Advances in Difference Equations 17 Fractional Calculus & Applied Analysis 14 Journal of Mathematical Analysis and Applications 14 Abstract and Applied Analysis 10 Communications in Nonlinear Science and Numerical Simulation 9 Nonlinear Analysis. 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New Series 1 Acta Mechanica Sinica ...and 19 more Journals all top 5 Cited in 39 Fields 190 Ordinary differential equations (34-XX) 185 Real functions (26-XX) 83 Special functions (33-XX) 66 Operator theory (47-XX) 63 Integral equations (45-XX) 49 Partial differential equations (35-XX) 40 Numerical analysis (65-XX) 27 Systems theory; control (93-XX) 26 Integral transforms, operational calculus (44-XX) 12 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 8 Number theory (11-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year