Special issue on Fractional Calculus and Applications. Lead Editor: Hari Srivastava, Gest Editors: Jocelyn Sabatier, Roberto Garrappa, Mohsen Zayernouri, Richard L. Magin and J. A. Tenreiro Machado
VOL. 10 · NO. 1 | Jan 2017
 
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Articles
Chenkuan Li, Changpin Li
Tbilisi Math. J. 10 (1), 1-18, (Jan 2017) DOI: 10.1515/tmj-2017-0001
KEYWORDS: distribution, convolution, delta function, first-order approximation, product, fractional derivative and Faà did Bruno formula, 46F10, 26A33
Aruchamy Akilandeeswari, Krishnan Balachandran, Margarita Rivero, Juan J. Trujillo
Tbilisi Math. J. 10 (1), 19-29, (Jan 2017) DOI: 10.1515/tmj-2017-0002
KEYWORDS: existence, Partial Integrodifferential equations, fractional derivatives, fixed point Theorem, 34A12, 45J05, 26A33, 47H10
Kourosh Parand, Mehdi Delkhosh, Mehran Nikarya
Tbilisi Math. J. 10 (1), 31-55, (Jan 2017) DOI: 10.1515/tmj-2017-0004
KEYWORDS: Fractional order of Chebyshev functions, Operational matrix, Tau method, Bagley-Torvik equation, Lane-Emden equation, momentum equation, 34A08, 34A34, 33F05, 34K07, 33C45
Swati Tyagi, Syed Abbas
Tbilisi Math. J. 10 (1), 57-74, (Jan 2017) DOI: 10.1515/tmj-2017-0003
KEYWORDS: Fractional-order, Projection Neural Network, Mittag-Leffer stability, Piecewise constant argument of generalized type, synchronization, 26A33, 34D23, 90C20, 34D06
Sajid Iqbal, Josip Pečarić, Muhammad Samraiz, Živorad Tomovski
Tbilisi Math. J. 10 (1), 75-90, (Jan 2017) DOI: 10.1515/tmj-2017-0005
KEYWORDS: Hilfer fractional derivative, Mittag-Leffer function, fractional integral, 26D15, 26D10, 26A33
Lokesh Budhia, Mehmet Kir, Dhananjay Gopal, Hukmi Kiziltunç
Tbilisi Math. J. 10 (1), 91-104, (Jan 2017) DOI: 10.1515/tmj-2017-0006
KEYWORDS: fixed point, rectangular metric, nonlinear fractional differential equation, 47H10, 54H25, 37C25, 34A08
Adem Kılıçman, Wasan Ajeel Ahmood
Tbilisi Math. J. 10 (1), 105-115, (Jan 2017) DOI: 10.1515/tmj-2017-0007
KEYWORDS: Linear ordinary fractional Volterra integro-differential equations, initial conditions and one-dimensional Laplace Transform method, 26A33, 44A10
Yücel Çenesiz, Orkun Tasbozan, Ali Kurt
Tbilisi Math. J. 10 (1), 117-125, (Jan 2017) DOI: 10.1515/tmj-2017-0010
KEYWORDS: Functional Variable Method, KdV-Zakharov-Kuznetsov Equation, Maccari System, conformable fractional derivative, 35R11, 34A08, 35A20, 26A33
A. M. A. El-Sayed, E. A. Abdel-Rehim, A. S. Hashem
Tbilisi Math. J. 10 (1), 127-144, (Jan 2017) DOI: 10.1515/tmj-2017-0008
KEYWORDS: approximation solution, diffusion wave equation, explicit scheme, Grünwald-Letnikov scheme, time fractional, stability, stationary solution, simulation, 26A33, 35L05, 35J05, 45K05, 60J60, 60G50, 60G51, 65N06, 42A38
A. M. Mathai, H. J. Haubold
Tbilisi Math. J. 10 (1), 145-159, (Jan 2017) DOI: 10.1515/tmj-2017-0009
KEYWORDS: M-convolutions, products and ratios of random variables, fractional integrals, Kober fractional integrals, matrix-variate cases, 15B57, 26A33, 60B20, 62E15, 33C60, 40C05
Min-Jie Luo, Ravinder Krishna Raina
Tbilisi Math. J. 10 (1), 161-169, (Jan 2017) DOI: 10.1515/tmj-2017-0011
KEYWORDS: fractional integral operator, Čebyšev type functional, synchronous (asynchronous) function, 26A33, 26D10
Swati Tyagi, Syed Abbas, Manuel Pinto, Daniel Sepúlveda
Tbilisi Math. J. 10 (1), 171-196, (Jan 2017) DOI: 10.1515/tmj-2017-0012
KEYWORDS: Fractional-order, neural network, Mittag-Leffer stability, approximate solution, error analysis, Piecewise constant argument of generalized type, 26A33, 92B20, 34K07, 34A45
A. Rivaz, O.S. Fard, T.A. Bidgoli
Tbilisi Math. J. 10 (1), 197-205, (Jan 2017) DOI: 10.1515/tmj-2017-0013
KEYWORDS: Fuzzy Liouville-Caputo's derivative, metric space, Fuzzy fractional differential equation, Mittag-Leffler functions, 34A08, 34A12
Yuji Liu
Tbilisi Math. J. 10 (1), 207-248, (Jan 2017) DOI: 10.1515/tmj-2017-0014
KEYWORDS: Riemann-Liouville fractional derivative, higher order fractional differential system, impulse effect, fixed point Theorem, $(n,n-k)$ focal boundary value problem, 92D25, 34A37, 34K15, 34K37, 34K45, 34B37, 34B15, 34B10, 92D25, 34A37, 34K15
Omid Solaymani Fard, Ricardo Almeida, Javad Soolaki, Akbar Hashemi Borzabadi
Tbilisi Math. J. 10 (1), 249-267, (Jan 2017) DOI: 10.1515/tmj-2017-0015
KEYWORDS: Fuzzy fractional variational problems, Fuzzy fractional Euler–Lagrange conditions, Fuzzy Liouville–Caputo derivative, 93C42, 34A07, 34A08, 93D05
Betul Hicdurmaz, Emine Can
Tbilisi Math. J. 10 (1), 269-278, (Jan 2017) DOI: 10.1515/tmj-2017-0016
KEYWORDS: fractional differential equation, population model, numerical solution, pseudospectral method, 34A08, 65M70, 92D25
Marjan Uddin, Suleman Ahmad
Tbilisi Math. J. 10 (1), 279-284, (Jan 2017) DOI: 10.1515/tmj-2017-0017
KEYWORDS: Bagley-Torvik equation, Laplace transform, quadrature, 65R10, 65M15
Nemat Nyamoradi, Nasrin Eghbali, Ali Ashraf Nori
Tbilisi Math. J. 10 (1), 285-293, (Jan 2017) DOI: 10.1515/tmj-2017-0018
KEYWORDS: variational methods, Fractional advection dispersion equation, Ekeland variational principle, critical point, 35A15, 34A08, 35B38
P. K. Banerji, Deshna Loonker
Tbilisi Math. J. 10 (1), 295-314, (Jan 2017) DOI: 10.1515/tmj-2017-0019
KEYWORDS: Fractional calculus, Laplace-Hankel transform, Stieltjes transform, wavelet transform, distribution spaces, Boehmians, 26A33, 44A10, 44A15, 46F10, 46F99, ‎42C40, 65T60
Maryam Omran, Adem Kiliçman
Tbilisi Math. J. 10 (1), 315-324, (Jan 2017) DOI: 10.1515/tmj-2017-0020
KEYWORDS: Mellin transform, fractional Fourier transform, fractional Mellin transform, fractional operator, 26A33, 42A38, 44A15
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