LEADER 04960nam 2200661 450 001 9910809183303321 005 20230808205255.0 010 $a1-119-00417-9 010 $a1-119-00413-6 010 $a1-119-00423-3 035 $a(CKB)4330000000007924 035 $a(EBL)4635690 035 $a(PQKBManifestationID)16394095 035 $a(PQKBWorkID)14944848 035 $a(PQKB)20981388 035 $a(MiAaPQ)EBC4635690 035 $a(DLC) 2016015086 035 $a(Au-PeEL)EBL4635690 035 $a(CaPaEBR)ebr11246941 035 $a(CaONFJC)MIL949808 035 $a(OCoLC)957128103 035 $a(EXLCZ)994330000000007924 100 $a20160902h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFuzzy arbitrary order system $efuzzy fractional differential equations and applications /$fSnehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera 210 1$aHoboken, New Jersey :$cWiley,$d2016. 210 4$dİ2016 215 $a1 online resource (275 p.) 300 $aDescription based upon print version of record. 311 $a1-119-00411-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aCover; Title Page; Copyright; Contents; Preface; Acknowledgments; Chapter 1 Preliminaries of Fuzzy Set Theory; Bibliography; Chapter 2 Basics of Fractional and Fuzzy Fractional Differential Equations; Bibliography; Chapter 3 Analytical Methods for Fuzzy Fractional Differential Equations (FFDES); 3.1 n-Term Linear Fuzzy Fractional Linear Differential Equations; 3.2 Proposed Methods; Bibliography; Chapter 4 Numerical Methods for Fuzzy Fractional Differential Equations; 4.1 Homotopy Perturbation Method (HPM); 4.2 Adomian Decomposition Method (ADM); 4.3 Variational Iteration Method (VIM) 327 $aBibliographyChapter 5 Fuzzy Fractional Heat Equations; 5.1 Arbitrary-Order Heat Equation; 5.2 Solution of Fuzzy Arbitrary-Order Heat Equations by HPM; 5.3 Numerical Examples; 5.4 Numerical Results; Bibliography; Chapter 6 Fuzzy Fractional Biomathematical Applications; 6.1 Fuzzy Arbitrary-Order Predator-Prey Equations; 6.1.1 Particular Case; 6.2 Numerical Results of Fuzzy Arbitrary-Order Predator-Prey Equations; Bibliography; Chapter 7 Fuzzy Fractional Chemical Problems; 7.1 Arbitrary-Order Rossler's Systems; 7.2 HPM Solution of Uncertain Arbitrary-Order Rossler's System; 7.3 Particular Case 327 $a7.3.1 Special Case7.4 Numerical Results; Bibliography; Chapter 8 Fuzzy Fractional Structural Problems; 8.1 Fuzzy Fractionally Damped Discrete System; 8.2 Uncertain Response Analysis; 8.2.1 Uncertain Step Function Response; 8.2.2 Uncertain Impulse Function Response; 8.3 Numerical Results; 8.3.1 Case Studies for Uncertain Step Function Response; 8.3.2 Case Studies for Uncertain Impulse Function Response; 8.4 Fuzzy Fractionally Damped Continuous System; 8.5 Uncertain Response Analysis; 8.5.1 Unit step Function Response; 8.5.2 Unit Impulse Function Response; 8.6 Numerical Results 327 $a8.6.1 Case Studies for Fuzzy Unit Step Response8.6.2 Case Studies for Fuzzy Unit Impulse Response; Bibliography; Chapter 9 Fuzzy Fractional Diffusion Problems; 9.1 Fuzzy Fractional-Order Diffusion Equation; 9.1.1 Double-Parametric-Based Solution of Uncertain Fractional-Order Diffusion Equation; 9.1.2 Solution Bounds for Different External Forces; 9.2 Numerical Results of Fuzzy Fractional Diffusion Equation; Bibliography; Chapter 10 Uncertain Fractional Fornberg-Whitham Equations; 10.1 Parametric-Based Interval Fractional Fornberg-Whitham Equation; 10.2 Solution by VIM 327 $a10.3 Solution Bounds for Different Interval Initial Conditions10.4 Numerical Results; Bibliography; Chapter 11 Fuzzy Fractional Vibration Equation of Large Membrane; 11.1 Double-Parametric-Based Solution of Uncertain Vibration Equation of Large Membrane; 11.2 Solutions of Fuzzy Vibration Equation of Large Membrane; 11.3 Case Studies (Solution Bounds for Particular Cases); 11.4 Numerical Results for Fuzzy Fractional Vibration Equation for Large Membrane; Bibliography; Chapter 12 Fuzzy Fractional Telegraph Equations; 12.1 Double-Parametric-Based Fuzzy Fractional Telegraph Equations 327 $a12.2 Solutions of Fuzzy Telegraph Equations Using Homotopy Perturbation Method 606 $aFractional differential equations 606 $aFuzzy mathematics 606 $aDifferential equations 615 0$aFractional differential equations. 615 0$aFuzzy mathematics. 615 0$aDifferential equations. 676 $a515/.352 700 $aChakraverty$b Snehashish$0946360 702 $aTapaswini$b Smita$f1987- 702 $aBehera$b D$g(Diptiranjan),$f1988- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910809183303321 996 $aFuzzy arbitrary order system$93932417 997 $aUNINA