LEADER 05723nam 2200661 450 001 9910137390903321 005 20200520144314.0 010 $a3-11-047071-3 010 $a3-11-047209-0 024 7 $a10.1515/9783110472097 035 $a(CKB)3710000000553311 035 $a(SSID)ssj0001695362 035 $a(PQKBManifestationID)16542627 035 $a(PQKBTitleCode)TC0001695362 035 $a(PQKBWorkID)15066010 035 $a(PQKB)25088125 035 $a(MiAaPQ)EBC4332919 035 $a(WaSeSS)IndRDA00058241 035 $a(DE-B1597)463318 035 $a(OCoLC)979754287 035 $a(OCoLC)980172462 035 $a(DE-B1597)9783110472097 035 $a(Au-PeEL)EBL4332919 035 $a(CaPaEBR)ebr11140023 035 $a(OCoLC)939265229 035 $a(EXLCZ)993710000000553311 100 $a20190124d2015 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aFractional dynamics /$fCarlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.) 210 1$aBerlin :$cDe Gruyter Open,$d[2015] 210 4$d©2015 215 $a1 online resource (392 pages) $cillustrations 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-11-047208-2 327 $tFrontmatter -- $tContents -- $tFractional Dynamics / $rCattani, Carlo / Srivastava, H. M. / Yang, Xiao-Jun -- $tLocal Fractional Calculus on Shannon Wavelet Basis / $rCattani, Carlo -- $tDiscretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / $rTarasov, Vasily E. -- $tTemporal Patterns in Earthquake Data-series / $rLopes, António M. / Tenreiro Machado, J.A. -- $tAn Integral Transform arising from Fractional Calculus / $rAsada, Akira -- $tApproximate Solutions to Time-fractional Models by Integral-balance Approach / $rHristov, Jordan -- $tA Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / $rAhmad, Bashir / Alsaedi, Ahmed / Al-Hutami, Hana -- $tFractional Diffusion Equation, Sorption and Reaction Processes on a Surface / $rLenzi, M. K. / Gonçalves, G. / Leitoles, D. P. / Lenzi, E. K. -- $tFractional Order Models for Electrochemical Devices / $rSabatier, Jocelyn -- $tResults for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / $rLenzi, M. K. / Gonçalves, G. / Silva, F. R. G. B. / Zola, R. S. / Ribeiro, H. V. / Rossato, R. / Lenzi, E. K. -- $tApplication of Fractional Calculus to Epidemiology / $rAtangana, Abdon -- $tOn Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / $rBhrawy, A.H. / Taha, T.M. / Abdelkawy, M.A. / Hafez, R.M. -- $tFrom Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / $rLiu, Hong-Yan / He, Ji-Huan -- $tCantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / $rSegi Rahmat, Mohamad Rafi / Baleanu, Dumitru / Yang, Xiao-Jun -- $tApproximate Methods for Local Fractional Differential Equations / $rSrivastava, H. M. / Tenreiro Machado, J. A. / Yang, Xiao-Jun -- $tNumerical Solutions for ODEs with Local Fractional Derivative / $rYang, Xiao-Jun / Baleanu, Dumitru / Tenreiro Machado, J. A. -- $tLocal Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / $rYang, Xiao-Jun / Cattani, Carlo / Xie, Gongnan -- $tLocal Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / $rJafari, Hossein / Jassim, Hassan Kamil / Tauseef Mohyud-Din, Syed -- $tCalculus on Fractals / $rGolmankhaneh, Alireza K. / Baleanu, D. -- $tSolutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / $rMehmet Baskonus, Haci / Bin Muhammad Belgacem, Fethi / Bulut, Hasan -- $tFractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / $rMekkaoui, Toufik / Hammouch, Zakia / Belgacem, Fethi B.M. / El Abbassi, Ahmed -- $tFractional Derivative of the Riemann Zeta Function / $rGuariglia, E. -- $tA Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / $rBin Muhammad Belgacem, Fethi / Gulati, Vartika / Goswami, Pranay / Aljoujiee, Abdullah 330 $aThe book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies,ranging from mathematics and physics to computer science. 606 $aFractional calculus 608 $aElectronic books. 610 $aFractional dynamics. 610 $afractional calculus. 610 $anonlinear analysis. 610 $anonlinear dynamics. 615 0$aFractional calculus. 676 $a515.83 702 $aCattani$b Carlo$f1954- 702 $aSrivastava$b H. M. 702 $aYang$b Xiao-Jun 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910137390903321 996 $aFractional dynamics$92146667 997 $aUNINA