Fractional Calculus And Applied Analysis

Fractional Calculus And Applied Analysis

分数阶微积分与应用分析

  • 1区 中科院分区
  • Q1 JCR分区

高引用文章

文章名称 引用次数
A FURTHER EXTENSION OF MITTAG-LEFFLER FUNCTION 27
A REVIEW ON VARIABLE-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS: MATHEMATICAL FOUNDATIONS, PHYSICAL MODELS, NUMERICAL METHODS AND APPLICATIONS 26
FRACTIONAL IMPULSIVE DIFFERENTIAL EQUATIONS: EXACT SOLUTIONS, INTEGRAL EQUATIONS AND SHORT MEMORY CASE 22
EXISTENCE OF SOLUTIONS FOR A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED NONLOCAL BOUNDARY CONDITIONS 16
NOVEL NUMERICAL ANALYSIS OF MULTI-TERM TIME FRACTIONAL VISCOELASTIC NON-NEWTONIAN FLUID MODELS FOR SIMULATING UNSTEADY MHD COUETTE FLOW OF A GENERALIZED OLDROYD-B FLUID 16
INITIAL-BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFUSION EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS 14
STABILITY ANALYSIS OF IMPULSIVE FRACTIONAL DIFFERENCE EQUATIONS 13
ATTRACTIVITY FOR FRACTIONAL EVOLUTION EQUATIONS WITH ALMOST SECTORIAL OPERATORS 13
FROM CONTINUOUS TIME RANDOM WALKS TO THE GENERALIZED DIFFUSION EQUATION 13
A SYSTEM OF COUPLED MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH THREE-POINT COUPLED BOUNDARY CONDITIONS 11
PROPERTIES OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE AND ITS DISTRIBUTIONAL SETTINGS 11
SOME FURTHER RESULTS OF THE LAPLACE TRANSFORM FOR VARIABLE-ORDER FRACTIONAL DIFFERENCE EQUATIONS 10
CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES 9
ANALYTICAL SOLUTIONS FOR MULTI-TERM TIME-SPACE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH NONLOCAL DAMPING TERMS 9
FRACTIONAL DERIVATIVES OF CONVEX LYAPUNOV FUNCTIONS AND CONTROL PROBLEMS IN FRACTIONAL ORDER SYSTEMS 9
WELL-POSEDNESS OF TIME-FRACTIONAL ADVECTION-DIFFUSION-REACTION EQUATIONS 8
APPROXIMATE CONTROLLABILITY AND EXISTENCE OF MILD SOLUTIONS FOR RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS OF ORDER 1 < alpha < 2 8
THE FAILURE OF CERTAIN FRACTIONAL CALCULUS OPERATORS IN TWO PHYSICAL MODELS 8
ON RIESZ DERIVATIVE 8
EXTREMUM PRINCIPLE FOR THE HADAMARD DERIVATIVES AND ITS APPLICATION TO NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS 8
FINITE ELEMENT APPROXIMATIONS FOR FRACTIONAL EVOLUTION PROBLEMS 7
FRACTAL DIMENSION OF RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OF 1-DIMENSIONAL CONTINUOUS FUNCTIONS 7
OPTIMAL CONTROL OF LINEAR SYSTEMS WITH FRACTIONAL DERIVATIVES 6
SENSITIVITY ANALYSIS FOR OPTIMAL CONTROL PROBLEMS DESCRIBED BY NONLINEAR FRACTIONAL EVOLUTION INCLUSIONS 6
FRACTIONAL CALCULUS IN ECONOMIC GROWTH MODELLING OF THE GROUP OF SEVEN 6
FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL NONLINEAR TIME-FRACTIONAL SUBDIFFUSION EQUATION 6
THE FLAW IN THE CONFORMABLE CALCULUS: IT IS CONFORMABLE BECAUSE IT IS NOT FRACTIONAL 5
SUBORDINATION IN A CLASS OF GENERALIZED TIME-FRACTIONAL DIFFUSION-WAVE EQUATIONS 5
EXISTENCE AND CONTROLLABILITY FOR NONLINEAR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL BOUNDARY CONDITIONS AND TIME-VARYING DELAY 5
COMPLEX SPATIO-TEMPORAL SOLUTIONS IN FRACTIONAL REACTION-DIFFUSION SYSTEMS NEAR A BIFURCATION POINT 5
SOME ITERATED FRACTIONAL q-INTEGRALS AND THEIR APPLICATIONS 5
REGULARITY OF SOLUTIONS TO SPACE-TIME FRACTIONAL WAVE EQUATIONS: A PDE APPROACH 4
HARDY-LITTLEWOOD, BESSEL-RIESZ, AND FRACTIONAL INTEGRAL OPERATORS IN ANISOTROPIC MORREY AND CAMPANATO SPACES 4
ERROR ESTIMATES OF HIGH-ORDER NUMERICAL METHODS FOR SOLVING TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS 4
INVERSE SOURCE PROBLEM FOR A SPACE-TIME FRACTIONAL DIFFUSION EQUATION 4
TIME-FRACTIONAL DIFFUSION WITH MASS ABSORPTION UNDER HARMONIC IMPACT 4
TIME-SPACE FRACTIONAL DERIVATIVE MODELS FOR CO2 TRANSPORT IN HETEROGENEOUS MEDIA 4
INITIAL BOUNDARY VALUE PROBLEMS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH HYPER-BESSEL OPERATOR 4
A TIME-SPACE HAUSDORFF DERIVATIVE MODEL FOR ANOMALOUS TRANSPORT IN POROUS MEDIA 4
PERFECT CONTROL FOR RIGHT-INVERTIBLE GRUNWALD-LETNIKOV PLANTS - AN INNOVATIVE APPROACH TO PRACTICAL IMPLEMENTATION 4
METHOD OF UPPER AND LOWER SOLUTIONS FOR NONLINEAR CAPUTO FRACTIONAL DIFFERENCE EQUATIONS AND ITS APPLICATIONS 4
IDENTIFICATION FOR CONTROL OF SUSPENDED OBJECTS IN NON-NEWTONIAN FLUIDS 4
THE PROBABILISTIC POINT OF VIEW ON THE GENERALIZED FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS 4
FINITE-APPROXIMATE CONTROLLABILITY OF FRACTIONAL EVOLUTION EQUATIONS: VARIATIONAL APPROACH 4
SERIES REPRESENTATION OF THE PRICING FORMULA FOR THE EUROPEAN OPTION DRIVEN BY SPACE-TIME FRACTIONAL DIFFUSION 4
INVERSE PROBLEMS FOR A CLASS OF DEGENERATE EVOLUTION EQUATIONS WITH RIEMANN - LIOUVILLE DERIVATIVE 3
GREEN'S FUNCTIONS, POSITIVE SOLUTIONS, AND A LYAPUNOV INEQUALITY FOR A CAPUTO FRACTIONAL-DERIVATIVE BOUNDARY VALUE PROBLEM 3
ASYMPTOTICALLY PERIODIC SOLUTIONS FOR CAPUTO TYPE FRACTIONAL EVOLUTION EQUATIONS 3
DISCOVERING A UNIVERSAL VARIABLE-ORDER FRACTIONAL MODEL FOR TURBULENT COUETTE FLOW USING A PHYSICS-INFORMED NEURAL NETWORK 3
LAGRANGIAN SOLVER FOR VECTOR FRACTIONAL DIFFUSION IN BOUNDED ANISOTROPIC AQUIFERS: DEVELOPMENT AND APPLICATION 3