Class information for:
Level 1: MODIFIED RIEMANN LIOUVILLE DERIVATIVE//FRACTIONAL TAYLORS SERIES//FRACTIONAL EULER LAGRANGE EQUATIONS

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
9154 1115 30.4 51%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
1392 7642 FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE//FRACTIONAL ORDER SYSTEM

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 MODIFIED RIEMANN LIOUVILLE DERIVATIVE Author keyword 46 74% 3% 34
2 FRACTIONAL TAYLORS SERIES Author keyword 34 93% 1% 13
3 FRACTIONAL EULER LAGRANGE EQUATIONS Author keyword 29 88% 1% 14
4 FRACTIONAL OPTIMAL CONTROL Author keyword 29 88% 1% 14
5 FRACTIONAL CALCULUS OF VARIATIONS Author keyword 24 82% 1% 14
6 FRACTIONAL COMPLEX TRANSFORM Author keyword 23 86% 1% 12
7 FRACTIONAL CALCULUS Author keyword 17 11% 13% 143
8 FRACTAL MEDIA Author keyword 15 63% 1% 15
9 FRACTIONAL VARIATIONAL PRINCIPLES Author keyword 15 88% 1% 7
10 LOCAL FRACTIONAL DERIVATIVE Author keyword 13 69% 1% 11

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 MODIFIED RIEMANN LIOUVILLE DERIVATIVE 46 74% 3% 34 Search MODIFIED+RIEMANN+LIOUVILLE+DERIVATIVE Search MODIFIED+RIEMANN+LIOUVILLE+DERIVATIVE
2 FRACTIONAL TAYLORS SERIES 34 93% 1% 13 Search FRACTIONAL+TAYLORS+SERIES Search FRACTIONAL+TAYLORS+SERIES
3 FRACTIONAL EULER LAGRANGE EQUATIONS 29 88% 1% 14 Search FRACTIONAL+EULER+LAGRANGE+EQUATIONS Search FRACTIONAL+EULER+LAGRANGE+EQUATIONS
4 FRACTIONAL OPTIMAL CONTROL 29 88% 1% 14 Search FRACTIONAL+OPTIMAL+CONTROL Search FRACTIONAL+OPTIMAL+CONTROL
5 FRACTIONAL CALCULUS OF VARIATIONS 24 82% 1% 14 Search FRACTIONAL+CALCULUS+OF+VARIATIONS Search FRACTIONAL+CALCULUS+OF+VARIATIONS
6 FRACTIONAL COMPLEX TRANSFORM 23 86% 1% 12 Search FRACTIONAL+COMPLEX+TRANSFORM Search FRACTIONAL+COMPLEX+TRANSFORM
7 FRACTIONAL CALCULUS 17 11% 13% 143 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
8 FRACTAL MEDIA 15 63% 1% 15 Search FRACTAL+MEDIA Search FRACTAL+MEDIA
9 FRACTIONAL VARIATIONAL PRINCIPLES 15 88% 1% 7 Search FRACTIONAL+VARIATIONAL+PRINCIPLES Search FRACTIONAL+VARIATIONAL+PRINCIPLES
10 LOCAL FRACTIONAL DERIVATIVE 13 69% 1% 11 Search LOCAL+FRACTIONAL+DERIVATIVE Search LOCAL+FRACTIONAL+DERIVATIVE

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 CONTINUOUS MEDIUM MODEL 86 96% 2% 26
2 SEQUENTIAL MECHANICS 80 80% 4% 49
3 LINEAR VELOCITIES 56 73% 4% 43
4 EULER LAGRANGE EQUATIONS 36 59% 4% 41
5 FRACTAL MEDIA 25 47% 4% 40
6 NONDIFFERENTIABLE FUNCTIONS 17 63% 2% 17
7 CLASSICAL FIELDS 17 75% 1% 12
8 HAMILTON FORMALISM 15 82% 1% 9
9 FRACTIONAL GENERALIZATION 14 100% 1% 7
10 LOCAL FRACTIONAL DERIVATIVES 14 100% 1% 7

Journals

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
On the existence of optimal solutions to fractional optimal control problems 2014 2 16 88%
Fractional calculus: A survey of useful formulas 2013 27 8 25%
REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS 2013 9 92 57%
Exact solutions of nonlinear partial fractional differential equations using fractional sub-equation method 2014 1 24 58%
A Review of Definitions for Fractional Derivatives and Integral 2014 2 15 40%
A Tutorial Review on Fractal Spacetime and Fractional Calculus 2014 10 88 11%
Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders 2015 0 1 100%
Generalized classical mechanics 2013 0 4 100%
Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation 2013 3 136 32%
Clasmatic seismodynamics-Oxymoron or pleonasm? 2012 0 15 47%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 UROMIA BRANCH 9 83% 0.4% 5
2 GROUNDWATER STUDIES 6 19% 2.5% 28
3 CHAIR DIFFERENTIAL EQUAT COMP SCI 4 75% 0.3% 3
4 OROMIYEH BRANCH 3 100% 0.3% 3
5 UFRRJ IM DTL 3 100% 0.3% 3
6 DEV MATH PLICAT 2 14% 1.3% 15
7 AREA MATEMAT ESTADIST INVEST OPERAT 2 67% 0.2% 2
8 DEV MATH PLICAT CIDMA 2 23% 0.6% 7
9 SHEFFIELD FLUID MECH GRP 1 31% 0.4% 4
10 LMFN MATH 1 38% 0.3% 3

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000183913 HUGO STEINHAUS//ANOMALOUS DIFFUSION//FRACTIONAL DIFFUSION EQUATION
2 0.0000146533 FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL DERIVATIVES//FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION
3 0.0000144551 FRACTIONAL DIMENSIONAL APPROACH//GAAS FILM//FRACTIONAL DIMENSIONAL SPACES
4 0.0000143937 DISCRETE FRACTIONAL CALCULUS//FRACTIONAL DIFFERENTIAL EQUATION//FRACTIONAL DIFFERENTIAL EQUATIONS
5 0.0000135744 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER SYSTEMS//FRACTIONAL ORDER CHAOTIC SYSTEM
6 0.0000117139 EIGEN COORDINATES METHOD//PSEUDO PHASE PLANE//N FOLD CONVOLUTION
7 0.0000096561 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
8 0.0000089212 TIME SCALES//DIAMOND ALPHA INTEGRAL//GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
9 0.0000070345 BUBBLE ELECTROSPINNING//NANTONG TEXT//ENGN MODERN SILK
10 0.0000069543 OPERATIONAL MATRIX//TAU METHOD//TAYLOR POLYNOMIALS AND SERIES