Class information for:
Level 1: FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11378 986 25.6 44%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
935 2             FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE 10998
11378 1                   FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS 986

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FRACTIONAL DERIVATIVE authKW 615729 15% 14% 145
2 FRACTIONAL DERIVATIVE DAMPING authKW 348896 1% 87% 13
3 FRACTIONAL CALCULUS authKW 171948 9% 7% 85
4 FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION authKW 154837 1% 100% 5
5 DYNAM SOLIDS STRUCT address 129029 1% 83% 5
6 AMPLITUDE FREQUENCY CURVES authKW 123870 0% 100% 4
7 FRACTIONAL VISCOELASTIC MATERIAL authKW 123870 0% 100% 4
8 FRACTIONAL ORDER DERIVATIVE authKW 102931 2% 21% 16
9 FRACTIONAL VISCOELASTICITY authKW 101342 1% 55% 6
10 APPROXIMATELY ANALYTICAL SOLUTION authKW 99094 0% 80% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mechanics 14416 42% 0% 413
2 Acoustics 4933 14% 0% 134
3 Mathematics, Applied 2818 22% 0% 217
4 Engineering, Mechanical 2503 17% 0% 166
5 Mathematics, Interdisciplinary Applications 1501 9% 0% 91
6 Audiology & Speech-Language Pathology 1084 4% 0% 44
7 Engineering, General 683 7% 0% 67
8 Materials Science, Characterization, Testing 493 3% 0% 29
9 Mathematics 310 9% 0% 90
10 Physics, Mathematical 201 5% 0% 46

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 DYNAM SOLIDS STRUCT 129029 1% 83% 5
2 WAVE DYNAM SOLIDS STRUCT 82577 0% 67% 4
3 QAR 46448 0% 50% 3
4 SOFT MATTER MECH 34757 1% 14% 8
5 BIOEFFECTS OPT RADIAT BRANCH 30967 0% 100% 1
6 BIOMATEN EXELLENCE BIOMAT TISSUE ENGN 30967 0% 100% 1
7 BIOMECH BIOMAT BM2 30967 0% 100% 1
8 BM 2 30967 0% 100% 1
9 CAMILLE JORDAN POLE MATH UMR5208 30967 0% 100% 1
10 CHAIR STRUCT DYNAM 30967 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MECHANICS OF TIME-DEPENDENT MATERIALS 35645 2% 5% 22
2 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 14759 1% 4% 13
3 QUARTERLY OF APPLIED MATHEMATICS 9243 2% 1% 22
4 RHEOLOGICA ACTA 4581 2% 1% 20
5 NONLINEAR DYNAMICS 4515 3% 1% 27
6 JOURNAL OF VIBRATION AND CONTROL 3462 2% 1% 16
7 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 3145 1% 1% 9
8 ACTA MECHANICA 3122 2% 0% 21
9 EVOLUTION EQUATIONS AND CONTROL THEORY 2977 0% 2% 4
10 JOURNAL OF ELASTICITY 2866 1% 1% 12

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 FRACTIONAL DERIVATIVE 615729 15% 14% 145 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE
2 FRACTIONAL DERIVATIVE DAMPING 348896 1% 87% 13 Search FRACTIONAL+DERIVATIVE+DAMPING Search FRACTIONAL+DERIVATIVE+DAMPING
3 FRACTIONAL CALCULUS 171948 9% 7% 85 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
4 FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION 154837 1% 100% 5 Search FRACTIONAL+DERIVATIVE+CONSTITUTIVE+RELATION Search FRACTIONAL+DERIVATIVE+CONSTITUTIVE+RELATION
5 AMPLITUDE FREQUENCY CURVES 123870 0% 100% 4 Search AMPLITUDE+FREQUENCY+CURVES Search AMPLITUDE+FREQUENCY+CURVES
6 FRACTIONAL VISCOELASTIC MATERIAL 123870 0% 100% 4 Search FRACTIONAL+VISCOELASTIC+MATERIAL Search FRACTIONAL+VISCOELASTIC+MATERIAL
7 FRACTIONAL ORDER DERIVATIVE 102931 2% 21% 16 Search FRACTIONAL+ORDER+DERIVATIVE Search FRACTIONAL+ORDER+DERIVATIVE
8 FRACTIONAL VISCOELASTICITY 101342 1% 55% 6 Search FRACTIONAL+VISCOELASTICITY Search FRACTIONAL+VISCOELASTICITY
9 APPROXIMATELY ANALYTICAL SOLUTION 99094 0% 80% 4 Search APPROXIMATELY+ANALYTICAL+SOLUTION Search APPROXIMATELY+ANALYTICAL+SOLUTION
10 SECOND ORDER ABSTRACT PROBLEM 99094 0% 80% 4 Search SECOND+ORDER+ABSTRACT+PROBLEM Search SECOND+ORDER+ABSTRACT+PROBLEM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 ROSSIKHIN, YA , SHITIKOVA, MV , (2010) APPLICATION OF FRACTIONAL CALCULUS FOR DYNAMIC PROBLEMS OF SOLID MECHANICS: NOVEL TRENDS AND RECENT RESULTS.APPLIED MECHANICS REVIEWS. VOL. 63. ISSUE 1. P. - 144 62% 87
2 NASHOLM, SP , HOLM, S , (2013) ON A FRACTIONAL ZENER ELASTIC WAVE EQUATION.FRACTIONAL CALCULUS AND APPLIED ANALYSIS. VOL. 16. ISSUE 1. P. 26-50 45 63% 23
3 CHEN, LC , HU, F , ZHU, WQ , (2013) STOCHASTIC DYNAMICS AND FRACTIONAL OPTIMAL CONTROL OF QUASI INTEGRABLE HAMILTONIAN SYSTEMS WITH FRACTIONAL DERIVATIVE DAMPING.FRACTIONAL CALCULUS AND APPLIED ANALYSIS. VOL. 16. ISSUE 1. P. 189-225 43 57% 17
4 DI PAOLA, M , PINNOLA, FP , COLINAS-ARMIJO, N , (2016) FRACTIONAL CHARACTERISTIC TIMES AND DISSIPATED ENERGY IN FRACTIONAL LINEAR VISCOELASTICITY.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 37. ISSUE . P. 14 -30 23 96% 1
5 FAILLA, G , PIRROTTA, A , (2012) ON THE STOCHASTIC RESPONSE OF A FRACTIONALLY-DAMPED DUFFING OSCILLATOR.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 17. ISSUE 12. P. 5131 -5142 26 90% 8
6 CHEN, LC , WANG, WH , LI, ZS , ZHU, WQ , (2013) STATIONARY RESPONSE OF DUFFING OSCILLATOR WITH HARDENING STIFFNESS AND FRACTIONAL DERIVATIVE.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 48. ISSUE . P. 44-50 24 89% 17
7 DI PAOLA, M , FAILLA, G , PIRROTTA, A , (2012) STATIONARY AND NON-STATIONARY STOCHASTIC RESPONSE OF LINEAR FRACTIONAL VISCOELASTIC SYSTEMS.PROBABILISTIC ENGINEERING MECHANICS. VOL. 28. ISSUE . P. 85 -90 23 92% 12
8 KELLY, JF , MCGOUGH, RJ , (2016) APPROXIMATE ANALYTICAL TIME-DOMAIN GREEN'S FUNCTIONS FOR THE CAPUTO FRACTIONAL WAVE EQUATION.JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA. VOL. 140. ISSUE 2. P. 1039 -1047 25 81% 0
9 CHEN, LC , ZHU, WQ , (2009) STOCHASTIC AVERAGING OF STRONGLY NONLINEAR OSCILLATORS WITH SMALL FRACTIONAL DERIVATIVE DAMPING UNDER COMBINED HARMONIC AND WHITE NOISE EXCITATIONS.NONLINEAR DYNAMICS. VOL. 56. ISSUE 3. P. 231 -241 24 86% 20
10 ROSSIKHIN, YA , SHITIKOVA, MV , SHCHEGLOVA, T , (2009) FORCED VIBRATIONS OF A NONLINEAR OSCILLATOR WITH WEAK FRACTIONAL DAMPING.JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES. VOL. 4. ISSUE 9. P. 1619 -1636 25 83% 7

Classes with closest relation at Level 1


Rank Class id link
1 3215 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
2 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
3 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
4 6671 CONSTRAINED LAYER DAMPING//VISCOELASTIC DAMPING//ACTIVE CONSTRAINED LAYER DAMPING
5 15108 VISCOUS DAMPERS//VISCOELASTIC DAMPER//SUPPLEMENTAL DAMPING
6 37727 ALLYL OLIGOMER//EYRING SCI N283//EPOXY BLENDS
7 7606 THIRD GRADE FLUID//SECOND GRADE FLUID//GENERALIZED SECOND GRADE FLUID
8 8035 STOCHASTIC AVERAGING//PROBABILISTIC ENGINEERING MECHANICS//STOCHASTIC AVERAGING METHOD
9 6258 MULLINS EFFECT//STRESS SOFTENING//HYPERELASTICITY
10 25217 INFINITE DIMENSIONAL HAMILTONIAN OPERATOR//SYMPLECTIC ELASTICITY//SYMPLECTIC ORTHOGONALITY

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