Class information for:
Level 1: FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4048 1857 25.0 53%


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
4048 1                   FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS 1857

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 DIFFERENTIAL EQUATIONS authKW 3357684 25% 45% 458
2 NONLINEAR DYNAM ANAL address 789351 4% 74% 65
3 FRACTIONAL DIFFERENTIAL INCLUSIONS authKW 721615 3% 83% 53
4 FIXED POINT THEOREM authKW 553806 11% 16% 209
5 ADVANCES IN DIFFERENCE EQUATIONS journal 478151 13% 12% 249
6 DISCRETE FRACTIONAL CALCULUS authKW 474816 2% 76% 38
7 FRACTIONAL Q DIFFERENCE EQUATIONS authKW 427482 1% 100% 26
8 INTEGRAL BOUNDARY CONDITIONS authKW 427048 3% 44% 59
9 FIXED POINT THEOREMS authKW 399755 5% 26% 92
10 CAPUTO FRACTIONAL DERIVATIVE authKW 398745 5% 26% 95

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 86542 84% 0% 1567
2 Mathematics 44014 66% 0% 1224
3 Mathematics, Interdisciplinary Applications 3135 10% 0% 180
4 Physics, Mathematical 323 4% 0% 81
5 Mechanics 109 4% 0% 69
6 Physics, Fluids & Plasmas 90 2% 0% 42
7 Engineering, General 45 2% 0% 32
8 Automation & Control Systems 38 1% 0% 25
9 Computer Science, Theory & Methods 22 2% 0% 31
10 Computer Science, Software Engineering 1 1% 0% 13

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 NONLINEAR DYNAM ANAL 789351 4% 74% 65
2 NONLINEAR ANAL PL MATH NAAM GRP 113774 3% 15% 47
3 MINIST PUBL EDUC 60524 0% 41% 9
4 MATH ANAL NUMER MATH 57511 1% 17% 21
5 GVP PROF V LAKSHMIKANTHAM ADV STUDIES 49325 0% 100% 3
6 DIFFERENTIAL EQUAT PL MATH 47551 0% 32% 9
7 MATH 45357 58% 0% 1075
8 NAAM GRP 38298 1% 9% 25
9 ANAL MATEMAT 29008 4% 3% 68
10 DAL 21190 0% 18% 7

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 ADVANCES IN DIFFERENCE EQUATIONS 478151 13% 12% 249
2 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 190135 3% 18% 64
3 BOUNDARY VALUE PROBLEMS 132161 6% 7% 110
4 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 90382 4% 8% 68
5 ABSTRACT AND APPLIED ANALYSIS 88525 8% 4% 154
6 JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 41042 2% 6% 44
7 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 35946 4% 3% 82
8 DYNAMIC SYSTEMS AND APPLICATIONS 21928 2% 5% 29
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 16728 5% 1% 99
10 APPLIED MATHEMATICS LETTERS 11893 3% 1% 62

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 DIFFERENTIAL EQUATIONS 3357684 25% 45% 458 Search FRACTIONAL+DIFFERENTIAL+EQUATIONS Search FRACTIONAL+DIFFERENTIAL+EQUATIONS
2 FRACTIONAL DIFFERENTIAL INCLUSIONS 721615 3% 83% 53 Search FRACTIONAL+DIFFERENTIAL+INCLUSIONS Search FRACTIONAL+DIFFERENTIAL+INCLUSIONS
3 FIXED POINT THEOREM 553806 11% 16% 209 Search FIXED+POINT+THEOREM Search FIXED+POINT+THEOREM
4 DISCRETE FRACTIONAL CALCULUS 474816 2% 76% 38 Search DISCRETE+FRACTIONAL+CALCULUS Search DISCRETE+FRACTIONAL+CALCULUS
5 FRACTIONAL Q DIFFERENCE EQUATIONS 427482 1% 100% 26 Search FRACTIONAL+Q+DIFFERENCE+EQUATIONS Search FRACTIONAL+Q+DIFFERENCE+EQUATIONS
6 INTEGRAL BOUNDARY CONDITIONS 427048 3% 44% 59 Search INTEGRAL+BOUNDARY+CONDITIONS Search INTEGRAL+BOUNDARY+CONDITIONS
7 FIXED POINT THEOREMS 399755 5% 26% 92 Search FIXED+POINT+THEOREMS Search FIXED+POINT+THEOREMS
8 CAPUTO FRACTIONAL DERIVATIVE 398745 5% 26% 95 Search CAPUTO+FRACTIONAL+DERIVATIVE Search CAPUTO+FRACTIONAL+DERIVATIVE
9 RIEMANN LIOUVILLE FRACTIONAL DERIVATIVE 365640 3% 40% 55 Search RIEMANN+LIOUVILLE+FRACTIONAL+DERIVATIVE Search RIEMANN+LIOUVILLE+FRACTIONAL+DERIVATIVE
10 POSITIVE SOLUTION 337217 12% 9% 232 Search POSITIVE+SOLUTION Search POSITIVE+SOLUTION

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 LIU, YJ , (2016) SURVEY AND NEW RESULTS ON BOUNDARY-VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 59 80% 0
2 ERBE, L , GOODRICH, CS , JIA, BG , PETERSON, A , (2016) SURVEY OF THE QUALITATIVE PROPERTIES OF FRACTIONAL DIFFERENCE OPERATORS: MONOTONICITY, CONVEXITY, AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 40 100% 1
3 JIANG, WH , QIU, JQ , GUO, WW , (2012) THE EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH SIGN CHANGING NONLINEARITIES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 42 93% 4
4 YUKUNTHORN, W , AHMAD, B , NTOUYAS, SK , TARIBOON, J , (2016) ON CAPUTO-HADAMARD TYPE FRACTIONAL IMPULSIVE HYBRID SYSTEMS WITH NONLINEAR FRACTIONAL INTEGRAL CONDITIONS.NONLINEAR ANALYSIS-HYBRID SYSTEMS. VOL. 19. ISSUE . P. 77 -92 26 76% 9
5 ZHAO, KH , LIANG, JY , (2017) SOLVABILITY OF TRIPLE-POINT INTEGRAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 32 94% 0
6 WANG, GT , AHMAD, B , ZHANG, LH , (2012) A COUPLED SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPOINT FRACTIONAL BOUNDARY CONDITIONS ON AN UNBOUNDED DOMAIN.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 33 97% 6
7 ZHANG, XM , ZHANG, XZ , LIU, ZH , DING, WB , CAO, H , SHU, T , (2016) ON THE GENERAL SOLUTION OF IMPULSIVE SYSTEMS WITH HADAMARD FRACTIONAL DERIVATIVES.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 30 97% 0
8 ZHANG, XM , SHU, T , LIU, ZH , DING, WB , PENG, H , HE, J , (2016) ON THE CONCEPT OF GENERAL SOLUTION FOR IMPULSIVE DIFFERENTIAL EQUATIONS OF FRACTIONAL-ORDER Q IS AN ELEMENT OF (2,3).OPEN MATHEMATICS. VOL. 14. ISSUE . P. 452 -473 30 97% 0
9 MU, Y , SUN, LY , HAN, ZL , (2016) SINGULAR BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH CHANGING SIGN NONLINEARITY AND PARAMETER.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 27 96% 1
10 WANG, GT , PEI, K , BALEANU, D , (2016) EXPLICIT ITERATION TO HADAMARD FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS ON INFINITE DOMAIN.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 28 97% 0

Classes with closest relation at Level 1


Rank Class id link
1 3936 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY
2 18863 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION
3 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
4 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
5 3215 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
6 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
7 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
8 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
9 20173 OFF OUTER SPACE AFFAIRS//H FUNCTION//GENERALIZED WRIGHT FUNCTION
10 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE

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