Fractional Calculus Applications

This cluster investigates the principles and applications of fractional calculus, including nonlinear programming and decomposition methods. It highlights its relevance in various scientific and engineering fields.

fractional calculus
applications
nonlinear programming
decomposition
mathematical modeling

48,827 papers

Parent topic: Applied Optimization and Material Science

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Papers Over Time

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Top Papers

On Spinodal Decomposition

1961 · 2,983 citations

On Nonlinear Fractional Programming

1967 · 2,418 citations

An Extension Problem Related To The Fractional Laplacian

2007 · 1,859 citations

On The Theory Of The Brownian Motion II

1945 · 1,845 citations

On The Stability Of The Linear Mapping In Banach Spaces

1978 · 1,705 citations

Weak Convergence Of The Sequence Of Successive Approximations For Nonexpansive Mappings

1967 · 1,592 citations

Multi-valued Contraction Mappings

1969 · 1,423 citations

Geometrical And Statistical Properties Of Systems Of Linear Inequalities With Applications In Pattern Recognition

1965 · 1,384 citations

Handbook Of Mathematical Functions With Formulas, Graphs And Mathematical Tables (National Bureau Of Standards Applied Mathematics Series No. 55)

1965 · 1,236 citations

Total Generalized Variation

2010 · 1,193 citations

Iterative Algorithms For Nonlinear Operators

2002 · 1,179 citations

Singular Integrals And Differentiability Properties Of Functions (PMS-30)

1971 · 1,151 citations

Linear Transformations Which Preserve Trace And Positive Semidefiniteness Of Operators

1972 · 1,086 citations

Multiple-valued Stationary State And Its Instability Of The Transmitted Light By A Ring Cavity System

1979 · 1,041 citations

VII. Mathematical Contributions To The Theory Of evolution.—III. Regression, Heredity, And Panmixia

1896 · 1,033 citations

Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables

1988 · 1,012 citations

Separability Criterion And Inseparable Mixed States With Positive Partial Transposition

1997 · 999 citations

On The Stability Of The Linear Transformation In Banach Spaces.

1950 · 941 citations

Stability Theory Of Solitary Waves In The Presence Of Symmetry, I

1987 · 932 citations

Some Results On Tchebycheffian Spline Functions

1971 · 913 citations