Class information for:
Level 1: FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11156 1004 31.4 49%


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
11156 1                   FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS 1004

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 EULER LAGRANGE EQUATIONS authKW 655428 2% 86% 25
2 FRACTIONAL OPTIMAL CONTROL authKW 469211 2% 86% 18
3 FRACTIONAL CALCULUS OF VARIATIONS authKW 427669 1% 94% 15
4 DIAMOND OPERATOR authKW 364946 1% 100% 12
5 FRACTAL MEDIA authKW 351554 2% 68% 17
6 FRACTIONAL CALCULUS authKW 336655 12% 9% 120
7 FRACTIONAL VARIATIONAL PROBLEMS authKW 321224 1% 81% 13
8 FRACTIONAL ACTION LIKE VARIATIONAL APPROACH authKW 243297 1% 100% 8
9 NON INTEGER DIMENSIONAL SPACE authKW 243297 1% 100% 8
10 FRACTIONAL OSCILLATOR authKW 230483 1% 63% 12

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 7229 34% 0% 342
2 Physics, Mathematical 5121 20% 0% 204
3 Mechanics 2463 18% 0% 179
4 Physics, Multidisciplinary 2395 23% 0% 235
5 Mathematics, Interdisciplinary Applications 1505 9% 0% 92
6 Mathematics 806 14% 0% 136
7 Engineering, Mechanical 509 8% 0% 81
8 Physics, Fluids & Plasmas 485 6% 0% 59
9 Acoustics 131 2% 0% 25
10 Engineering, General 123 3% 0% 32

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 UROMIA BRANCH 126716 0% 83% 5
2 UFRRJ IM DTL 121649 0% 100% 4
3 DEV MATH PLICAT 110636 2% 17% 22
4 OROMIYEH BRANCH 91237 0% 100% 3
5 SKOBELTSYN NUCL PHYS 82098 9% 3% 91
6 CHAIR DIFFERENTIAL EQUAT COMP SCI 68426 0% 75% 3
7 INFN GRP EGATO TRENTO 68426 0% 75% 3
8 MATH LEURS PLICAT PAU LM 68426 0% 75% 3
9 DEV MATH PLICAT CIDMA 68128 1% 20% 11
10 DIPARTAMENTO MATEMAT FIS 60824 0% 100% 2

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 24796 2% 5% 17
2 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 11185 4% 1% 37
3 NONLINEAR DYNAMICS 6239 3% 1% 32
4 JOURNAL OF VIBRATION AND CONTROL 5869 2% 1% 21
5 CENTRAL EUROPEAN JOURNAL OF PHYSICS 5561 1% 1% 15
6 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 5499 1% 2% 12
7 COMPUTERS & MATHEMATICS WITH APPLICATIONS 2448 3% 0% 28
8 ADVANCES IN DIFFERENCE EQUATIONS 2387 1% 1% 13
9 JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS 1954 2% 0% 16
10 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 1546 1% 1% 8

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 EULER LAGRANGE EQUATIONS 655428 2% 86% 25 Search FRACTIONAL+EULER+LAGRANGE+EQUATIONS Search FRACTIONAL+EULER+LAGRANGE+EQUATIONS
2 FRACTIONAL OPTIMAL CONTROL 469211 2% 86% 18 Search FRACTIONAL+OPTIMAL+CONTROL Search FRACTIONAL+OPTIMAL+CONTROL
3 FRACTIONAL CALCULUS OF VARIATIONS 427669 1% 94% 15 Search FRACTIONAL+CALCULUS+OF+VARIATIONS Search FRACTIONAL+CALCULUS+OF+VARIATIONS
4 DIAMOND OPERATOR 364946 1% 100% 12 Search DIAMOND+OPERATOR Search DIAMOND+OPERATOR
5 FRACTAL MEDIA 351554 2% 68% 17 Search FRACTAL+MEDIA Search FRACTAL+MEDIA
6 FRACTIONAL CALCULUS 336655 12% 9% 120 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
7 FRACTIONAL VARIATIONAL PROBLEMS 321224 1% 81% 13 Search FRACTIONAL+VARIATIONAL+PROBLEMS Search FRACTIONAL+VARIATIONAL+PROBLEMS
8 FRACTIONAL ACTION LIKE VARIATIONAL APPROACH 243297 1% 100% 8 Search FRACTIONAL+ACTION+LIKE+VARIATIONAL+APPROACH Search FRACTIONAL+ACTION+LIKE+VARIATIONAL+APPROACH
9 NON INTEGER DIMENSIONAL SPACE 243297 1% 100% 8 Search NON+INTEGER+DIMENSIONAL+SPACE Search NON+INTEGER+DIMENSIONAL+SPACE
10 FRACTIONAL OSCILLATOR 230483 1% 63% 12 Search FRACTIONAL+OSCILLATOR Search FRACTIONAL+OSCILLATOR

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 TARASOV, VE , (2014) ANISOTROPIC FRACTAL MEDIA BY VECTOR CALCULUS IN NON-INTEGER DIMENSIONAL SPACE.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 55. ISSUE 8. P. - 58 73% 8
2 TARASOV, VE , (2013) REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 27. ISSUE 9. P. - 53 58% 14
3 TARASOV, VE , (2015) FRACTAL ELECTRODYNAMICS VIA NON-INTEGER DIMENSIONAL SPACE APPROACH.PHYSICS LETTERS A. VOL. 379. ISSUE 36. P. 2055 -2061 30 94% 4
4 ALMEIDA, R , MARTINS, N , (2015) VARIATIONAL PROBLEMS FOR HOLDERIAN FUNCTIONS WITH FREE TERMINAL POINT.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 6. P. 1059 -1069 27 93% 1
5 ABBAS, M , RIZVI, AA , NAQVI, QA , (2017) FRACTIONAL DUAL FIELDS TO THE MAXWELL EQUATIONS FOR A LINE SOURCE BURIED IN DIELECTRIC HALF SPACE.OPTIK. VOL. 129. ISSUE . P. 225 -230 25 96% 0
6 GULISTAN, S , ABBAS, M , SYED, AA , (2014) FRACTIONAL DUAL FIELDS FOR A SLAB PLACED IN UNBOUNDED DIELECTRIC MAGNETIC MEDIUM.INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS. VOL. 46. ISSUE 1. P. 11 -21 30 83% 2
7 TARASOV, VE , (2015) VECTOR CALCULUS IN NON-INTEGER DIMENSIONAL SPACE AND ITS APPLICATIONS TO FRACTAL MEDIA.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 20. ISSUE 2. P. 360 -374 36 63% 5
8 FREDERICO, GSF , LAZO, MJ , (2016) FRACTIONAL NOETHER'S THEOREM WITH CLASSICAL AND CAPUTO DERIVATIVES: CONSTANTS OF MOTION FOR NON-CONSERVATIVE SYSTEMS.NONLINEAR DYNAMICS. VOL. 85. ISSUE 2. P. 839 -851 29 76% 1
9 JIA, QL , WU, HB , MEI, FX , (2016) NOETHER SYMMETRIES AND CONSERVED QUANTITIES FOR FRACTIONAL FORCED BIRKHOFFIAN SYSTEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 442. ISSUE 2. P. 782 -795 33 72% 0
10 TARASOV, VE , (2015) ELASTICITY OF FRACTAL MATERIALS USING THE CONTINUUM MODEL WITH NON-INTEGER DIMENSIONAL SPACE.COMPTES RENDUS MECANIQUE. VOL. 343. ISSUE 1. P. 57 -73 35 69% 0

Classes with closest relation at Level 1


Rank Class id link
1 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
2 28762 EIGEN COORDINATES METHOD//UISPA LAETA INEGI//PSEUDO PHASE PLANE
3 11378 FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS
4 4048 FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS
5 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
6 3215 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
7 1526 ANOMALOUS DIFFUSION//HUGO STEINHAUS//CONTINUOUS TIME RANDOM WALK
8 37333 MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS//ALGEBRAIC STRUCTURES WITH RESPECT TO NON NEWTONIAN CALCULUS
9 10651 CONSERVED QUANTITY//MEI SYMMETRY//MATH MECH MATH PHYS
10 35613 MICRODAMAGE ANISOTROPY//LOCALIZED FRACTURE//THICK PLATES AND SHELLS

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