Keyphrases
Abstract Cauchy Problem
6%
Applied Mathematics
8%
Approximate Solution
6%
Banach Fixed Point Theorem
6%
Biharmonic Operator
6%
Blow-up Result
12%
Caputo
11%
Caputo Fractional Differential Equation
6%
Cauchy Problem
6%
Constant Coefficients
25%
Contact Heating
6%
Continuous Function
6%
Convex Domain
7%
Cost Structure
8%
Damping Term
6%
Differential Equations
6%
Differential Equations with Variable Coefficients
29%
Dirac Operator
6%
Electricity Price
8%
Ellipsoidal Coordinates
6%
Evolution Equations
6%
Exact Solutions
9%
Existence of Weak Solutions
6%
Existence Results
6%
Explicit Solution
6%
Fisher-KPP Equation
6%
Fixed Costs
11%
Fixed Delay
6%
Fourier Type
6%
Fractional Cauchy Problem
6%
Fractional Derivative
10%
Fractional Differential Equations
29%
Fractional Integral
11%
Fractional Integral Operator
6%
Fractional Integro-differential Equations
6%
Fractional Integro-differential Operator
6%
Fractional Laplacian
12%
Fractional Operators
6%
Fractional Order
5%
Fractional-order Derivative
6%
Function Space
6%
Galerkin
6%
Generalized Grand Lebesgue Space
6%
Geometric Hardy Inequality
8%
Green Identity
9%
Half-space
5%
Half-space Domain
6%
Hardy Inequality
25%
Hardy Potential
9%
Hardy-Sobolev Inequality
6%
Heat Equation
8%
Heat Polynomials Method
12%
Heisenberg Group
27%
Homogeneous Groups
19%
Homogeneous Lie Group
15%
Illustrative Examples
8%
Infinite Series
19%
Integrable Function
6%
Inverse Cauchy Problem
6%
Kazakhstan
8%
Laplace Transform Method
6%
Leonhard Euler
6%
Linear Differential Equations
6%
Linear Fractional Differential Equation
9%
Linear Ordinary Differential Equations
6%
Lipschitz
6%
Logarithmic Nonlinearity
6%
Lyapunov Inequality
6%
Mittag-Leffler Function
9%
Mittag-Leffler Kernel
6%
Modulus of Continuity
6%
Mountain Pass Theorem
6%
Multinomial Mittag-Leffler Function
12%
Multiplicity of Positive Solutions
6%
Non-blow-up
6%
Nonlinear Equations
6%
Nonlinear Source
6%
Numerical Approximation
6%
Numerical Experiments
5%
Operating Leverage
11%
Optimal Investment
8%
Oscillatory Solution
6%
P(x)-biharmonic
6%
P-sub-Laplacian
8%
Poincaré Inequality
12%
Positive Weak Solution
5%
Pure Mathematics
8%
Rank One Symmetric Spaces
6%
Reaction-diffusion Equations
6%
Scalar Potential
6%
Semigroup
6%
Sharp Remainder
9%
Simple Proof
5%
Solution Existence
6%
Solution Representation
9%
Space Fractional
9%
Space-time Fractional Differential Equation
6%
Spectral Scheme
6%
Stefan Problem
6%
Stratified Group
25%
Stratified Lie Group
9%
Sub-Laplacian
14%
Subelliptic
9%
Time-fractional
12%
Time-varying Coefficients
9%
Two-phase Inverse Stefan Problems
6%
Variable Costs
12%
Variable Fractional Order
6%
Variable-order Time Fractional
6%
Viscoelastic Wave Equation
6%
Mathematics
Abstract Cauchy Problem
6%
Applied Mathematics
8%
Asymptotics
6%
Boundedness
6%
Caputo Time-Fractional Derivative
6%
Computational Approach
6%
Constant Coefficient
21%
Continuous Variable
7%
Convex Domain
7%
Differential Equation
27%
Diffusion Equation
8%
Error Estimate
6%
Euclidean Case
6%
Evolution Equation
6%
Existence Result
6%
Explicit Solution
9%
Finite Time
12%
Fixed Costs
11%
Fourier Transform
6%
Fractional Differential Equations
53%
Fractional Integral
14%
Fractional Order
16%
Green's Identity
9%
Half Space
11%
Hardy Inequality
20%
Hardy-Sobolev Inequality
6%
Heat Equation
9%
Heisenberg Group
27%
Illustrative Example
11%
Infinite Series
18%
Integral Operator
6%
Integro-Differential Operator
14%
Laplace Operator
49%
Laplace Transform Method
6%
Leffler Function
16%
Leffler Kernel
6%
Legendre Polynomial
5%
Lie Group
29%
Linear Combination
5%
Linear Differential Equation
6%
Lp Space
6%
Main Result
6%
Mathematics
12%
Multiplicity of Positive Solution
6%
Necessary Condition
12%
Neutral Differential Equations
6%
Nonlinear Equation
6%
Nonlinearities
6%
Numerical Analysis
6%
Numerical Approximation
6%
Numerical Experiment
6%
Numerical Scheme
6%
Polynomial
16%
Polynomials Method
19%
Pure Mathematics
8%
Reaction-Diffusion System
6%
Riemannian Symmetric Space
6%
Scalar Potential
6%
Semigroup
6%
Semilinear
6%
State Variable
8%
Stochastic Differential Equation
6%
Stochastics
8%
Symmetric Space
6%
Type Condition
6%
Type Inequality
32%
Variable Coefficient
45%
Variable Costs
12%
variable fractional order α
6%
Variable Order
8%
Variational Principle
6%
Wave Equation
6%
Weak Solution
11%
INIS
accuracy
6%
applications
32%
approximations
21%
cauchy problem
25%
coordinates
6%
cost
12%
damping
6%
differential equations
67%
differential operators
9%
diffusion equations
11%
dirichlet problem
12%
energy
9%
equations
46%
errors
6%
euclidean space
11%
evolution equations
6%
geometry
17%
heat
31%
heating
6%
integrals
5%
integro-differential equations
12%
investment
6%
kernels
10%
laplace transformation
6%
laplacian
53%
lie groups
33%
lyapunov method
6%
mapping
5%
mathematics
12%
mountains
6%
multiplicity
6%
multivariate analysis
12%
nonlinear problems
36%
numerical analysis
6%
one-dimensional calculations
7%
partial differential equations
5%
polynomials
21%
prices
5%
scalars
6%
solutions
100%
space
45%
stochastic processes
7%
surveys
6%
symmetry
6%
time dependence
8%
tools
5%
transformations
6%
variational methods
6%
wave equations
6%