## Journal of Fractional Calculus

 Short Title: J. Fractional Calc. Publisher: Descartes Press, Koriyama ISSN: 0918-5402 Comments: No longer indexed
 Documents Indexed: 406 Publications (1992–2010)
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### 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)
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### 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)

### Citations contained in zbMATH Open

126 Publications have been cited 510 times in 340 Documents Cited by Year
Fractional calculus and function spaces. Zbl 0829.46018
Delbosco, Domenico
1994
Fractional order evolution equations. Zbl 0839.34069
El-Sayed, A. M. A.
1995
An existence result for a nonlocal fractional differential problem. Zbl 1101.34001
Furati, Khaled M.; Tatar, Nasser-eddine
2004
Behavior of solutions for a weighted Cauchy-type fractional differential problem. Zbl 1131.26304
Furati, Khaled M.; Tatar, Nasser-eddine
2005
Geometric interpretation of the fractional derivative. Zbl 0907.26005
1997
$$N$$-fractional calculus of generalized Mittag-Leffler functions. Zbl 1195.26027
Saxena, R. K.; Nishimoto, Katsuyuki
2010
On generalized fractional calculus and its application to the solution of integro-differential equations. Zbl 0840.44002
Al-Bassam, M. A.; Luchko, Yu. F.
1995
Generalized fractional calculus of the $$H$$-function associated with the Appell function $$F_3$$. Zbl 0984.33006
Saxena, R. K.; Saigo, Megumi
2001
Some comparison results for integro-fractional differential inequalities. Zbl 1057.45003
Momani, S. M.; Hadid, S. B.
2003
Controllability and observability for fractional control systems. Zbl 0964.93013
Shamardan, A. B.; Moubarak, M. R. A.
1999
Local and global existence theorems on fractional integro-differential equations. Zbl 0967.45004
Momani, Shaher M.
2000
Local and global existence theorems on differential equations of non-integer order. Zbl 0839.34003
1995
The decomposition method for fractional differential equations. Zbl 0956.34004
Shawagfeh, N. T.
1999
Fractional differential equations. Zbl 0781.34006
Miller, Kenneth S.
1993
Explicit solutions of certain ordinary differential equations by means of fractional calculus. Zbl 1039.34003
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
Fractional differential-difference equations. Zbl 0888.34060
El-Sayed, Ahmed M. A.
1996
Adomian decomposition method for solving Burgers equation with fractional derivative. Zbl 1057.35052
El-Shahed, Moustafa
2003
Solutions of a class of ordinary and partial differential equations via fractional calculus. Zbl 0969.34008
Tu, Shih-Tong; Lin, Shy-Der; Srivastava, H. M.
2000
Explicit solutions of some general families of ordinary and partial differential equations associated with the Bessel equation by means of fractional calculus. Zbl 1087.34001
Lin, Shy-Der; Shyu, Jaw-Shian; Nishimoto, Katsuyuki; Srivastava, H. M.
2004
Further results on an $$H$$-function generalized fractional calculus. Zbl 0786.33008
Galué, Leda; Kalla, Shyam L.; Srivastava, H. M.
1993
Solution of a class of differintegral equations by means of Riemann-Liouville operator. Zbl 0838.34077
1995
Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. Zbl 1007.34004
Lin, Shy-Der; Tu, Shih-Tong; Shivastava, H. M.
2002
Fractional integral formula for the $$H$$-function. Zbl 0826.33007
Saxena, R. K.; Nishimoto, Katsuyuki
1994
Controllability of fractional nonlinear control system. Zbl 0964.93014
Abd El-Ghaffar, A.; Moubarak, M. R. A.; Shamardan, A. B.
2000
New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003
Lin, Shy-Der; Nishimoto, Katsuyuki
2000
$$N$$-method to a generalized associated Legendre equation. Zbl 0915.34008
Lin, Shy-Der; Nishimoto, K.
1998
Definite integral of fractional order for set-valued functions. Zbl 0894.26001
Ibrahim, A.-G.; El-Sayed, Ahmed M. A.
1997
On the existence of maximal and minimal solutions of differential equations of non-integer order. Zbl 0862.34008
Hadid, S. B.; Masaedeh, B.; Momani, S.
1996
Finite Weyl fractional calculus and abstract fractional differential equations. Zbl 0862.34010
El-Sayed, Ahmed M. A.
1996
Some integral forms for a generalized zeta function. Zbl 1018.11043
Nishimoto, Katsuyuki; Yen, Chen-E.; Lin, Ming-Lai
2002
An integral form for a generalized zeta function. Zbl 1018.11044
Yen, Chen-E.; Lin, Ming-Lai; Nishimoto, Katsuyuki
2002
$$N$$-fractional differintegral of generalized hypergeometric function. Zbl 0958.33003
de Romero, Susana Salinas; Prieto, Ana; Nishimoto, Katsuyuki
1999
Nyquist characteristics of a fractional order integrator. Zbl 0993.93023
Ostalczyk, Piotr
2001
$$N$$-fractional calculus operator $$N^\nu$$ method to nonhomogeneous and homogeneous Whittaker equations. II: Some illustrative examples. Zbl 0910.34008
de Romero, Susana Salinas; Nishimoto, Katsuyuki
1997
Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011
Saigo, Megumi; Saxena, R. K.
1998
Fractional calculus and its applications involving bilateral expansions and multiple infinite sums. Zbl 1073.26002
Lin, Shy-Der; Srivastas, H. M.
2004
An elementary proof of a generalization of a certain functional relation derived by means of fractional calculus. Zbl 0849.33009
Srivastava, H. M.; Nishimoto, Katsuyuki
1992
An application of generalized Leibniz rule to infinite sums. Zbl 0842.26005
Al-Zamel, A.; Kalla, S.
1995
Applications of N-transformation and N-fractional calculus method to nonhomogeneous Bessel equations. I. Zbl 0839.34013
Nishimoto, Katsuyuki
1995
On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007
Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf
1995
$$N$$-fractional calculus operator $${\mathcal N}^ \nu$$ method to nonhomogeneous and homogeneous Whittaker equations. I. Zbl 0862.34007
Nishimoto, Katsuyuki; de Romero, Susana Salinas
1996
Some differintegral formulas for power, composite and rational functions. Zbl 1137.26001
Lin, Shy-Der; Nishimoto, Katsuyuki; Miyakoda, Tsuyako; Srivastava, H. M.
2007
Solution of a class of third order differential equations by fractional calculus. Zbl 0834.34002
Kalla, Shyam L.; Guerra, José Antonio
1994
Negative power series solutions for a class of differential equations including the ones of Legendre and Chebyshev. Zbl 1131.26309
Odibet, Zaid; Al-Lamy, Raad; Nishimoto, Katsuyuki
2005
Some finite and infinite sums associated with the digamma and related functions. Zbl 1019.33002
Lin, Shy-Der; Tu, Shih-Tong; Hsieh, Tsai-Ming; Srivastava, H. M.
2002
Unified fractional integral formulas for the multivariable $$H$$-function. III. Zbl 1008.33007
Saigo, Megumi; Saxena, R. K.
2001
$$N$$-method to the homogeneous Whittaker equations. Zbl 0959.34008
Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I.
1999
$$N$$-method to the homogeneous Whittaker equations (revise and supplement). Zbl 0959.34009
Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I.
1999
On the existence of extremal solutions of fractional integro-differential equations. Zbl 0967.45005
2000
A formula for the fractional integration and differentiation of $$(a+bx)^ c$$. Zbl 0858.26007
Ross, Bertram
1994
Certain operators of fractional calculus and their applications associated with logarithmic and Digamma functions. Zbl 0881.26001
Tu, Shih-Tong; Chyan, Ding-Kuo; Srivastava, H. M.
1996
A study of dichotomy of linear systems of difference equations using the quadratic forms. Zbl 1080.39001
Ateiwi, Ali Mahmud
2004
Application of fractional calculus to infinite sums. Zbl 0798.26009
Galué, L.; Kalla, Shyam L.; Nishimoto, K.
1992
On Nishimoto’s fractional calculus operator $${\mathcal N}^ \nu$$. (On an action group). Zbl 0792.30028
Nishimoto, Katsuyuki
1993
Application of fractional calculus to the generation of special functions with complex parameters. Zbl 0790.33001
Campos, L. M. B. C.
1993
Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004
Gorenflo, Rudolf; Kilbas, Anatoly A.
1995
Operator $${\mathcal N}^ \nu$$ method to nonhomogeneous Gauss and Bessel equations. Zbl 0862.34006
Nishimoto, Katsuyuki
1996
Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003
Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki
2002
Some families of multiple infinite sums and associated fractional differintegral formulas for power and composite functions. Zbl 1123.26007
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2006
Unification of the integrals and derivatives (A serendipity in fractional calculus). Zbl 0876.26008
Nishimoto, Katsuyuki
1994
Infinite sums derived by the fractional calculus of some logarithmic functions (A serendipity in fractional calculus). Zbl 0876.26009
Nishimoto, Katsuyuki
1994
Fractional integral and Dirichlet averages. Zbl 0866.26004
Deora, Yogendra; Banerji, P. K.; Saigo, Megumi
1994
On Dirichlet average and fractional integral of a general class of polynomials. Zbl 0866.26005
Vyas, D. N.; Banerji, P. K.; Saigo, Megumi
1994
Solutions to an Euler’s equation by means of $$N$$-fractional calculus. Zbl 1195.26023
Nishimoto, Katsuyuki
2010
$$N$$-fractional calculus of some multiple power functions and some identities. Zbl 1157.26308
Nishimoto, Katsuyuki; Miyakoda, Tsuyako
2008
Ring and field produced from the set of N-fractional calculus operator. Zbl 1078.26503
Nishimoto, Katsuyuki
2003
Some multiple infinite sums derived from the $$N$$-fractional calculus of some power functions. Zbl 1054.40001
Nishimoto, Katsuyuki; de Romero, Susana S.
2003
Some families of multiple infinite sums associated with the digamma and related functions. Zbl 1092.33003
Lin, Shy-Der; Hsieh, Tsai-Ming; Srivastava, H. M.
2003
On the topological properties of the solution of differential inclusions and abstract control problems. Zbl 1051.34047
Gomaa, A. M.
2003
Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. Zbl 1131.26305
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2005
Analytical solution of transient heat conduction in a two-dimensional cylindrical fin by means of separable variables. Zbl 1144.35392
Kung, Kuang Yuan; Tu, Shih-Tong
2005
On certain fractional operators for certain subclass of prestarlike functions defined by Salagean operator. Zbl 1013.30008
Aouf, M. K.; Al-amri, B. A.
2002
N-fractional calculus of the power and logarithmic functions and some identities (Continue). Zbl 1129.26301
Nishimoto, Katsuyuki
2002
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
2002
$$N$$-method to nearly simple harmonic vibration equation (investigation of the solutions). Zbl 1046.34066
Nishimoto, Katsuyuki
2001
On some infinite sums derived by N-fractional calculus. Zbl 1004.26004
Nishimoto, Katsuyuki; Chyan, Ding-Kuo; Lin, Shy-Der; Tu, Shih-Tong
2001
Unified fractional integral formulas for the multivariable $$H$$-function. Zbl 0955.33008
Saigo, Megumi; Saxena, R. K.
1999
Some properties of Legendre polynomials of fractional orders. Zbl 0955.33003
Moustafa, Osama L.
1999
An algorithm for numerical solutions of fractional order differential equations. Zbl 0958.65081
1999
$$N$$-method to nearly simple harmonic vibration equations. Zbl 0956.34002
Nishimoto, Katsuyuki
1999
$$N$$-method to fractional differintegral equations $$\phi_{\pm 3/4}+\phi\cdot a=f (a\not=0)$$. Zbl 0959.34007
Miyakoda, Tsuyako; Nishimoto, Katsuyuki
1999
Unified fractional integral formulas for the multivariable $$H$$-function. II. Zbl 1125.33305
Saigo, Megumi; Saxena, R. K.
1999
$$N$$-fractional calculus operator $$N^\nu$$ method applied to some second order nonhomogeneous equations. Zbl 0956.34005
Galué, Leda
1999
A solution of generalized special differential equations by means of fractional calculus. Zbl 0959.34010
Tu, Shih-Tong; Lin, Shy-Der; Chyan, Ding-Kuo; Huang, Yu-Tan
1999
Arbitrary order linear ordinary differintegral equations with polynomial coefficients. Zbl 0966.45005
Ali, Ismail
2000
$$N$$-method to nearly simple harmonic vibration equations (continued). Zbl 0956.34003
Nishimoto, K.; de Romero, Susana S.
2000
N-method to an almost free damping vibration equation. Zbl 0968.34005
Miyakoda, T.; Nishimoto, K.
2000
A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001
Saigo, Megumi; Goyal, S. P.; Saxena, Sunil
1998
Commutativity of Leibniz rule in fractional calculus. Zbl 0947.26006
Tu, Shih-Tong; Chyan, Ding-Kuo; Leu, Shing-Hwa
1998
Solutions of homogeneous Gauss equations, which have a logarithmic function, in fractional calculus. Zbl 0807.34003
Nishimoto, Katsuyuki
1994
On the fractional calculus of functions $$(cz-a)^ \beta$$ and $$\log(cz- a)$$. Zbl 0827.26008
Tu, Shih-Tong; Nishimoto, Katsuyuki
1994
Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method. Zbl 0807.34005
Tu, Shih-Tong; Lin, Shy-Der; Nishimoto, Katsuyuki
1994
On Abel type integral equations of first kind. Zbl 0807.45003
Gorenflo, Rudolf; Kilbas, Anatoly A.; Yakubovich, Semen B.
1994
A note on a conjecture involving fractional derivatives of convex functions. Zbl 0808.30011
Chen, Ming-Po; Srivastava, H. M.; Yu, Ching-Shu
1994
An application of fractional calculus to the solution of Euler-Darboux equation in terms of Dirichlet averages. Zbl 0814.35089
Deora, Yogendra; Banerji, P. K.
1994
Fourier transform and Nishimoto fractional calculus. Zbl 0913.34008
1996
Starlikeness and convexity of fractional calculus operators. Zbl 0880.30011
Choi, Jae Ho; Kim, Yong Chan; Srivastava, H. M.
1996
On certain fractional operators for certain classes of multivalent functions with negative coefficients. Zbl 0886.30008
Chen, Ming-Po; Aouf, M. K.
1996
Operator $$N^\nu$$ method to a generalized linear second order homogeneous ordinary differential equation. Zbl 0893.34005
Nishimoto, Katsuyuki
1997
Examinations for some doubly infinite sums derived by means of $$N$$-fractional calculus. Zbl 1105.26002
Nishimoto, K.; de Romero, Susana S.; Prieto, Ana I.
2004
$$N$$-fractional calculus of generalized Mittag-Leffler functions. Zbl 1195.26027
Saxena, R. K.; Nishimoto, Katsuyuki
2010
Solutions to an Euler’s equation by means of $$N$$-fractional calculus. Zbl 1195.26023
Nishimoto, Katsuyuki
2010
$$N$$-fractional calculus of some multiple power functions and some identities. Zbl 1157.26308
Nishimoto, Katsuyuki; Miyakoda, Tsuyako
2008
Some differintegral formulas for power, composite and rational functions. Zbl 1137.26001
Lin, Shy-Der; Nishimoto, Katsuyuki; Miyakoda, Tsuyako; Srivastava, H. M.
2007
Some families of multiple infinite sums and associated fractional differintegral formulas for power and composite functions. Zbl 1123.26007
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2006
Behavior of solutions for a weighted Cauchy-type fractional differential problem. Zbl 1131.26304
Furati, Khaled M.; Tatar, Nasser-eddine
2005
Negative power series solutions for a class of differential equations including the ones of Legendre and Chebyshev. Zbl 1131.26309
Odibet, Zaid; Al-Lamy, Raad; Nishimoto, Katsuyuki
2005
Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. Zbl 1131.26305
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2005
Analytical solution of transient heat conduction in a two-dimensional cylindrical fin by means of separable variables. Zbl 1144.35392
Kung, Kuang Yuan; Tu, Shih-Tong
2005
An existence result for a nonlocal fractional differential problem. Zbl 1101.34001
Furati, Khaled M.; Tatar, Nasser-eddine
2004
Explicit solutions of some general families of ordinary and partial differential equations associated with the Bessel equation by means of fractional calculus. Zbl 1087.34001
Lin, Shy-Der; Shyu, Jaw-Shian; Nishimoto, Katsuyuki; Srivastava, H. M.
2004
Fractional calculus and its applications involving bilateral expansions and multiple infinite sums. Zbl 1073.26002
Lin, Shy-Der; Srivastas, H. M.
2004
A study of dichotomy of linear systems of difference equations using the quadratic forms. Zbl 1080.39001
Ateiwi, Ali Mahmud
2004
Examinations for some doubly infinite sums derived by means of $$N$$-fractional calculus. Zbl 1105.26002
Nishimoto, K.; de Romero, Susana S.; Prieto, Ana I.
2004
On a class of linear integro-differential equations by fractional calculus. Zbl 1094.45003
Ali, Ismail; Kalla, S. L.
2004
Numerical examinations for some mixed and double finite sums obtained by means of $$N$$-fractional calculus. Zbl 1104.26008
Nishimoto, K.; de Romero, Susana S.; Fuenmayor, Marleny
2004
Examinations for some doubly infinite, finite and mixed sums. Zbl 1105.26006
Nishimoto, Katsuyuki
2004
Some comparison results for integro-fractional differential inequalities. Zbl 1057.45003
Momani, S. M.; Hadid, S. B.
2003
Adomian decomposition method for solving Burgers equation with fractional derivative. Zbl 1057.35052
El-Shahed, Moustafa
2003
Ring and field produced from the set of N-fractional calculus operator. Zbl 1078.26503
Nishimoto, Katsuyuki
2003
Some multiple infinite sums derived from the $$N$$-fractional calculus of some power functions. Zbl 1054.40001
Nishimoto, Katsuyuki; de Romero, Susana S.
2003
Some families of multiple infinite sums associated with the digamma and related functions. Zbl 1092.33003
Lin, Shy-Der; Hsieh, Tsai-Ming; Srivastava, H. M.
2003
On the topological properties of the solution of differential inclusions and abstract control problems. Zbl 1051.34047
Gomaa, A. M.
2003
Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. Zbl 1007.34004
Lin, Shy-Der; Tu, Shih-Tong; Shivastava, H. M.
2002
Some integral forms for a generalized zeta function. Zbl 1018.11043
Nishimoto, Katsuyuki; Yen, Chen-E.; Lin, Ming-Lai
2002
An integral form for a generalized zeta function. Zbl 1018.11044
Yen, Chen-E.; Lin, Ming-Lai; Nishimoto, Katsuyuki
2002
Some finite and infinite sums associated with the digamma and related functions. Zbl 1019.33002
Lin, Shy-Der; Tu, Shih-Tong; Hsieh, Tsai-Ming; Srivastava, H. M.
2002
Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003
Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki
2002
On certain fractional operators for certain subclass of prestarlike functions defined by Salagean operator. Zbl 1013.30008
Aouf, M. K.; Al-amri, B. A.
2002
N-fractional calculus of the power and logarithmic functions and some identities (Continue). Zbl 1129.26301
Nishimoto, Katsuyuki
2002
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
2002
Some theorems for N-fractional calculus of logarithmic functions. I. Zbl 1033.26010
Nishimoto, Katsuyuki
2002
Some infinite sums via N-fractional calculus. Zbl 1004.26006
Wang, Pin-Yu; Wu, Tsu-Chen; Tu, Shih-Tong
2002
Generalized fractional calculus of the $$H$$-function associated with the Appell function $$F_3$$. Zbl 0984.33006
Saxena, R. K.; Saigo, Megumi
2001
Explicit solutions of certain ordinary differential equations by means of fractional calculus. Zbl 1039.34003
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
Nyquist characteristics of a fractional order integrator. Zbl 0993.93023
Ostalczyk, Piotr
2001
Unified fractional integral formulas for the multivariable $$H$$-function. III. Zbl 1008.33007
Saigo, Megumi; Saxena, R. K.
2001
$$N$$-method to nearly simple harmonic vibration equation (investigation of the solutions). Zbl 1046.34066
Nishimoto, Katsuyuki
2001
On some infinite sums derived by N-fractional calculus. Zbl 1004.26004
Nishimoto, Katsuyuki; Chyan, Ding-Kuo; Lin, Shy-Der; Tu, Shih-Tong
2001
Local and global existence theorems on fractional integro-differential equations. Zbl 0967.45004
Momani, Shaher M.
2000
Solutions of a class of ordinary and partial differential equations via fractional calculus. Zbl 0969.34008
Tu, Shih-Tong; Lin, Shy-Der; Srivastava, H. M.
2000
Controllability of fractional nonlinear control system. Zbl 0964.93014
Abd El-Ghaffar, A.; Moubarak, M. R. A.; Shamardan, A. B.
2000
New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003
Lin, Shy-Der; Nishimoto, Katsuyuki
2000
On the existence of extremal solutions of fractional integro-differential equations. Zbl 0967.45005
2000
Arbitrary order linear ordinary differintegral equations with polynomial coefficients. Zbl 0966.45005
Ali, Ismail
2000
$$N$$-method to nearly simple harmonic vibration equations (continued). Zbl 0956.34003
Nishimoto, K.; de Romero, Susana S.
2000
N-method to an almost free damping vibration equation. Zbl 0968.34005
Miyakoda, T.; Nishimoto, K.
2000
Controllability and observability for fractional control systems. Zbl 0964.93013
Shamardan, A. B.; Moubarak, M. R. A.
1999
The decomposition method for fractional differential equations. Zbl 0956.34004
Shawagfeh, N. T.
1999
$$N$$-fractional differintegral of generalized hypergeometric function. Zbl 0958.33003
de Romero, Susana Salinas; Prieto, Ana; Nishimoto, Katsuyuki
1999
$$N$$-method to the homogeneous Whittaker equations. Zbl 0959.34008
Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I.
1999
$$N$$-method to the homogeneous Whittaker equations (revise and supplement). Zbl 0959.34009
Nishimoto, Katsuyuki; de Romero, Susana S.; Matera, Josefina; Prieto, Ana I.
1999
Unified fractional integral formulas for the multivariable $$H$$-function. Zbl 0955.33008
Saigo, Megumi; Saxena, R. K.
1999
Some properties of Legendre polynomials of fractional orders. Zbl 0955.33003
Moustafa, Osama L.
1999
An algorithm for numerical solutions of fractional order differential equations. Zbl 0958.65081
1999
$$N$$-method to nearly simple harmonic vibration equations. Zbl 0956.34002
Nishimoto, Katsuyuki
1999
$$N$$-method to fractional differintegral equations $$\phi_{\pm 3/4}+\phi\cdot a=f (a\not=0)$$. Zbl 0959.34007
Miyakoda, Tsuyako; Nishimoto, Katsuyuki
1999
Unified fractional integral formulas for the multivariable $$H$$-function. II. Zbl 1125.33305
Saigo, Megumi; Saxena, R. K.
1999
$$N$$-fractional calculus operator $$N^\nu$$ method applied to some second order nonhomogeneous equations. Zbl 0956.34005
Galué, Leda
1999
A solution of generalized special differential equations by means of fractional calculus. Zbl 0959.34010
Tu, Shih-Tong; Lin, Shy-Der; Chyan, Ding-Kuo; Huang, Yu-Tan
1999
$$N$$-method to a generalized associated Legendre equation. Zbl 0915.34008
Lin, Shy-Der; Nishimoto, K.
1998
Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011
Saigo, Megumi; Saxena, R. K.
1998
A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001
Saigo, Megumi; Goyal, S. P.; Saxena, Sunil
1998
Commutativity of Leibniz rule in fractional calculus. Zbl 0947.26006
Tu, Shih-Tong; Chyan, Ding-Kuo; Leu, Shing-Hwa
1998
Geometric interpretation of the fractional derivative. Zbl 0907.26005
1997
Definite integral of fractional order for set-valued functions. Zbl 0894.26001
Ibrahim, A.-G.; El-Sayed, Ahmed M. A.
1997
$$N$$-fractional calculus operator $$N^\nu$$ method to nonhomogeneous and homogeneous Whittaker equations. II: Some illustrative examples. Zbl 0910.34008
de Romero, Susana Salinas; Nishimoto, Katsuyuki
1997
Operator $$N^\nu$$ method to a generalized linear second order homogeneous ordinary differential equation. Zbl 0893.34005
Nishimoto, Katsuyuki
1997
Fractional differential-difference equations. Zbl 0888.34060
El-Sayed, Ahmed M. A.
1996
On the existence of maximal and minimal solutions of differential equations of non-integer order. Zbl 0862.34008
Hadid, S. B.; Masaedeh, B.; Momani, S.
1996
Finite Weyl fractional calculus and abstract fractional differential equations. Zbl 0862.34010
El-Sayed, Ahmed M. A.
1996
$$N$$-fractional calculus operator $${\mathcal N}^ \nu$$ method to nonhomogeneous and homogeneous Whittaker equations. I. Zbl 0862.34007
Nishimoto, Katsuyuki; de Romero, Susana Salinas
1996
Certain operators of fractional calculus and their applications associated with logarithmic and Digamma functions. Zbl 0881.26001
Tu, Shih-Tong; Chyan, Ding-Kuo; Srivastava, H. M.
1996
Operator $${\mathcal N}^ \nu$$ method to nonhomogeneous Gauss and Bessel equations. Zbl 0862.34006
Nishimoto, Katsuyuki
1996
Fourier transform and Nishimoto fractional calculus. Zbl 0913.34008
1996
Starlikeness and convexity of fractional calculus operators. Zbl 0880.30011
Choi, Jae Ho; Kim, Yong Chan; Srivastava, H. M.
1996
On certain fractional operators for certain classes of multivalent functions with negative coefficients. Zbl 0886.30008
Chen, Ming-Po; Aouf, M. K.
1996
N-fractional calculus operator $${\mathcal N}^\nu$$ method to nonhomogeneous Fukuhara equations. I. Zbl 0932.34001
Nishimoto, K.; de Durán, Judith A.; Galué, Leda
1996
Some existence theorems on differential equations of generalized order through a fixed-point theorem. Zbl 0859.34004
Hadid, S. B.; Ta&rsquo;ani, A. A.; Momani, S. M.
1996
Fractional order evolution equations. Zbl 0839.34069
El-Sayed, A. M. A.
1995
On generalized fractional calculus and its application to the solution of integro-differential equations. Zbl 0840.44002
Al-Bassam, M. A.; Luchko, Yu. F.
1995
Local and global existence theorems on differential equations of non-integer order. Zbl 0839.34003
1995
Solution of a class of differintegral equations by means of Riemann-Liouville operator. Zbl 0838.34077
1995
An application of generalized Leibniz rule to infinite sums. Zbl 0842.26005
Al-Zamel, A.; Kalla, S.
1995
Applications of N-transformation and N-fractional calculus method to nonhomogeneous Bessel equations. I. Zbl 0839.34013
Nishimoto, Katsuyuki
1995
On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007
Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf
1995
Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004
Gorenflo, Rudolf; Kilbas, Anatoly A.
1995
A general fractional integral formula. Zbl 0842.33006
Agrawal, Rajni; Pareek, R. S.; Saigo, Megumi
1995
Application of fractional calculus to infinite sums. II. Zbl 0848.33006
Galue, Leda
1995
Some properties of N-transformation. Zbl 0845.44002
Nishimoto, Katsuyuki
1995
Applications of N-transformation to some linear ordinary differential equations. Zbl 0839.34012
Nishimoto, Katsuyuki
1995
Applications of $$N$$-fractional calculus to infinite sums. Zbl 0854.26008
de Romero, Susana Salinas; Kalla, Shyam L.; Yakubovich, S. B.
1995
On the two-dimensional generalized Weyl fractional calculus associated with two dimensional H-transforms. Zbl 0855.44004
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
1995
Fractional calculus and function spaces. Zbl 0829.46018
Delbosco, Domenico
1994
Fractional integral formula for the $$H$$-function. Zbl 0826.33007
Saxena, R. K.; Nishimoto, Katsuyuki
1994
Solution of a class of third order differential equations by fractional calculus. Zbl 0834.34002
Kalla, Shyam L.; Guerra, José Antonio
1994
A formula for the fractional integration and differentiation of $$(a+bx)^ c$$. Zbl 0858.26007
Ross, Bertram
1994
Unification of the integrals and derivatives (A serendipity in fractional calculus). Zbl 0876.26008
Nishimoto, Katsuyuki
1994
Infinite sums derived by the fractional calculus of some logarithmic functions (A serendipity in fractional calculus). Zbl 0876.26009
Nishimoto, Katsuyuki
1994
Fractional integral and Dirichlet averages. Zbl 0866.26004
Deora, Yogendra; Banerji, P. K.; Saigo, Megumi
1994
...and 26 more Documents
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all top 5

### Cited in 110 Journals

 45 Applied Mathematics and Computation 26 Computers & Mathematics with Applications 19 Advances in Difference Equations 16 Fractional Calculus & Applied Analysis 14 Journal of Mathematical Analysis and Applications 14 Abstract and Applied Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Communications in Nonlinear Science and Numerical Simulation 6 Chaos, Solitons and Fractals 6 Journal of Computational and Applied Mathematics 5 Applied Mathematics Letters 5 International Journal of Differential Equations 4 Journal of Integral Equations and Applications 4 Integral Transforms and Special Functions 4 Mathematical Problems in Engineering 4 Differential Equations and Dynamical Systems 4 Mediterranean Journal of Mathematics 4 International Journal of Applied and Computational Mathematics 3 International Journal of Theoretical Physics 3 Mathematical Methods in the Applied Sciences 3 Mathematical and Computer Modelling 3 Russian Journal of Mathematical Physics 3 Journal of the Egyptian Mathematical Society 3 Turkish Journal of Mathematics 3 Nonlinear Dynamics 3 Journal of Inequalities and Applications 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Boundary Value Problems 3 Nonlinear Oscillations 3 Journal of Applied Nonlinear Dynamics 3 AIMS Mathematics 2 Automatica 2 Journal of Differential Equations 2 Numerical Methods for Partial Differential Equations 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Filomat 2 Journal of Applied Analysis 2 International Journal of Applied Mathematics and Computer Science 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Applications and Applied Mathematics 2 East Asian Mathematical Journal 2 Journal of Mathematical Extension 2 Journal of Applied Analysis and Computation 2 Fractional Differential Calculus 2 Journal of Function Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 2 Open Mathematics 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Calcolo 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Optimization Theory and Applications 1 Kyungpook Mathematical Journal 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Applied Mathematics and Stochastic Analysis 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Continuum Mechanics and Thermodynamics 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 European Journal of Control 1 Journal of Vibration and Control 1 The Ramanujan Journal 1 Positivity 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 1 Trudy Instituta Matematiki 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Applied Mathematics E-Notes 1 Journal of Function Spaces and Applications 1 Cubo 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Acta Mechanica Sinica 1 Nonlinear Analysis. Hybrid Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Tbilisi Mathematical Journal 1 Advances in Differential Equations and Control Processes 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Pseudo-Differential Operators and Applications 1 TWMS Journal of Pure and Applied Mathematics 1 Functional Analysis, Approximation and Computation ...and 10 more Journals
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### Cited in 40 Fields

 175 Ordinary differential equations (34-XX) 169 Real functions (26-XX) 75 Special functions (33-XX) 60 Integral equations (45-XX) 59 Operator theory (47-XX) 45 Partial differential equations (35-XX) 36 Numerical analysis (65-XX) 22 Systems theory; control (93-XX) 21 Integral transforms, operational calculus (44-XX) 11 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Number theory (11-XX) 8 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-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 General and overarching topics; collections (00-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 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX)