Class information for:
Level 1: CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2265 2302 30.2 62%


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
2265 1                   CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE 2302

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 CAPUTO DERIVATIVE authKW 1117742 7% 51% 165
2 OPERATIONAL MATRIX authKW 699931 4% 51% 103
3 CAPUTO FRACTIONAL DERIVATIVE authKW 668998 6% 37% 137
4 FRACTIONAL DIFFERENTIAL EQUATIONS authKW 653431 10% 22% 225
5 MODIFIED RIEMANN LIOUVILLE DERIVATIVE authKW 647089 2% 89% 55
6 LOCAL FRACTIONAL DERIVATIVE authKW 584670 2% 96% 46
7 FRACTIONAL DIFFUSION EQUATION authKW 476641 4% 42% 85
8 FRACTIONAL COMPLEX TRANSFORM authKW 345307 1% 96% 27
9 GROUNDWATER STUDIES address 324486 3% 37% 66
10 FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS authKW 306617 1% 68% 34

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 Mathematics, Applied 39770 52% 0% 1196
2 Mathematics, Interdisciplinary Applications 12963 17% 0% 398
3 Physics, Mathematical 4891 13% 0% 308
4 Engineering, General 3417 10% 0% 223
5 Mechanics 2889 13% 0% 301
6 Mathematics 2295 15% 0% 343
7 Physics, Multidisciplinary 1422 13% 0% 296
8 Computer Science, Interdisciplinary Applications 1215 7% 0% 156
9 Thermodynamics 874 6% 0% 128
10 Physics, Fluids & Plasmas 215 3% 0% 67

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 GROUNDWATER STUDIES 324486 3% 37% 66
2 OCISB 141950 1% 63% 17
3 PRINCE ABDULLAH BIN GHAZI SCI IT 85921 1% 36% 18
4 CONACYT NACL INVEST DESARROLLO TECNOL 84879 0% 80% 8
5 GANSU PL MATH COMPLEX SYST 63648 1% 40% 12
6 SOFT MATTER MECH 59544 1% 28% 16
7 LMFN MATH 41443 0% 63% 5
8 NEW VALLEY BRANCH 37880 0% 29% 10
9 MATH 35976 47% 0% 1072
10 AERONAUT SCI TECHNOL 34182 1% 18% 14

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 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 82681 2% 13% 47
2 THERMAL SCIENCE 60487 4% 5% 89
3 ABSTRACT AND APPLIED ANALYSIS 24295 4% 2% 90
4 ADVANCES IN MATHEMATICAL PHYSICS 17920 1% 5% 27
5 APPLIED MATHEMATICS AND COMPUTATION 17572 7% 1% 153
6 JOURNAL OF COMPUTATIONAL PHYSICS 15575 5% 1% 115
7 APPLIED MATHEMATICAL MODELLING 13521 4% 1% 82
8 COMPUTERS & MATHEMATICS WITH APPLICATIONS 13456 4% 1% 99
9 ADVANCES IN DIFFERENCE EQUATIONS 13086 2% 2% 46
10 OPEN PHYSICS 11780 0% 8% 11

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 CAPUTO DERIVATIVE 1117742 7% 51% 165 Search CAPUTO+DERIVATIVE Search CAPUTO+DERIVATIVE
2 OPERATIONAL MATRIX 699931 4% 51% 103 Search OPERATIONAL+MATRIX Search OPERATIONAL+MATRIX
3 CAPUTO FRACTIONAL DERIVATIVE 668998 6% 37% 137 Search CAPUTO+FRACTIONAL+DERIVATIVE Search CAPUTO+FRACTIONAL+DERIVATIVE
4 FRACTIONAL DIFFERENTIAL EQUATIONS 653431 10% 22% 225 Search FRACTIONAL+DIFFERENTIAL+EQUATIONS Search FRACTIONAL+DIFFERENTIAL+EQUATIONS
5 MODIFIED RIEMANN LIOUVILLE DERIVATIVE 647089 2% 89% 55 Search MODIFIED+RIEMANN+LIOUVILLE+DERIVATIVE Search MODIFIED+RIEMANN+LIOUVILLE+DERIVATIVE
6 LOCAL FRACTIONAL DERIVATIVE 584670 2% 96% 46 Search LOCAL+FRACTIONAL+DERIVATIVE Search LOCAL+FRACTIONAL+DERIVATIVE
7 FRACTIONAL DIFFUSION EQUATION 476641 4% 42% 85 Search FRACTIONAL+DIFFUSION+EQUATION Search FRACTIONAL+DIFFUSION+EQUATION
8 FRACTIONAL COMPLEX TRANSFORM 345307 1% 96% 27 Search FRACTIONAL+COMPLEX+TRANSFORM Search FRACTIONAL+COMPLEX+TRANSFORM
9 FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS 306617 1% 68% 34 Search FRACTIONAL+PARTIAL+DIFFERENTIAL+EQUATIONS Search FRACTIONAL+PARTIAL+DIFFERENTIAL+EQUATIONS
10 FRACTIONAL DERIVATIVE 252766 6% 13% 142 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE

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 LI, CP , ZENG, FH , (2012) FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 22. ISSUE 4. P. - 73 81% 39
2 BHRAWY, AH , ZAKY, MA , MACHADO, JAT , (2016) EFFICIENT LEGENDRE SPECTRAL TAU ALGORITHM FOR SOLVING THE TWO-SIDED SPACE-TIME CAPUTO FRACTIONAL ADVECTION-DISPERSION EQUATION.JOURNAL OF VIBRATION AND CONTROL. VOL. 22. ISSUE 8. P. 2053 -2068 42 89% 8
3 ZENG, FH , LI, CP , LIU, FW , TURNER, I , (2013) THE USE OF FINITE DIFFERENCE/ELEMENT APPROACHES FOR SOLVING THE TIME-FRACTIONAL SUBDIFFUSION EQUATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 35. ISSUE 6. P. A2976-A3000 51 89% 46
4 BHRAWY, AH , ZAKY, MA , VAN GORDER, RA , (2016) A SPACE-TIME LEGENDRE SPECTRAL TAU METHOD FOR THE TWO-SIDED SPACE-TIME CAPUTO FRACTIONAL DIFFUSION-WAVE EQUATION.NUMERICAL ALGORITHMS. VOL. 71. ISSUE 1. P. 151 -180 39 80% 10
5 BHRAWY, AH , (2016) A JACOBI SPECTRAL COLLOCATION METHOD FOR SOLVING MULTI-DIMENSIONAL NONLINEAR FRACTIONAL SUB-DIFFUSION EQUATIONS.NUMERICAL ALGORITHMS. VOL. 73. ISSUE 1. P. 91 -113 34 85% 12
6 ZENG, FH , LI, CP , LIU, FW , TURNER, I , (2015) NUMERICAL ALGORITHMS FOR TIME-FRACTIONAL SUBDIFFUSION EQUATION WITH SECOND-ORDER ACCURACY.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 37. ISSUE 1. P. A55 -A78 41 89% 21
7 LIU, Y , DU, YW , LI, H , HE, S , GAO, W , (2015) FINITE DIFFERENCE/FINITE ELEMENT METHOD FOR A NONLINEAR TIME-FRACTIONAL FOURTH-ORDER REACTION-DIFFUSION PROBLEM.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 70. ISSUE 4. P. 573 -591 48 86% 4
8 ABBASZADEH, M , DEHGHAN, M , SAFARPOOR, M , (2015) TWO HIGH-ORDER NUMERICAL ALGORITHMS FOR SOLVING THE MULTI-TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 290. ISSUE . P. 174 -195 48 80% 6
9 HU, XL , ZHANG, LM , (2014) A NEW IMPLICIT COMPACT DIFFERENCE SCHEME FOR THE FOURTH-ORDER FRACTIONAL DIFFUSION-WAVE SYSTEM.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 91. ISSUE 10. P. 2215 -2231 46 87% 2
10 BHRAWY, AH , TAHA, TM , MACHADO, JAT , (2015) A REVIEW OF OPERATIONAL MATRICES AND SPECTRAL TECHNIQUES FOR FRACTIONAL CALCULUS.NONLINEAR DYNAMICS. VOL. 81. ISSUE 3. P. 1023 -1052 51 61% 16

Classes with closest relation at Level 1


Rank Class id link
1 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
2 1526 ANOMALOUS DIFFUSION//HUGO STEINHAUS//CONTINUOUS TIME RANDOM WALK
3 885 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
4 11378 FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS
5 3215 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
6 4048 FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS
7 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
8 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
9 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
10 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD

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