New Challenges Arising in Engineering Problems with Fractional and Integer Order

New Challenges Arising in Engineering Problems with Fractional and Integer Order

Mathematical models have been frequently studied in recent decades, in order to obtain the deeper properties of real-world problems. In particular, if these problems, such as finance, soliton theory and health problems, as well as problems arising in applied science and so on, affect humans from all...

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Weitere Verfasser: Baskonus, Haci Mehmet (HerausgeberIn), Sánchez Ruiz, Luis Manuel (HerausgeberIn), Ciancio, Armando (HerausgeberIn)
Format: Buchkapitel
Veröffentlicht: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Schlagworte:
Technology: general issues
fractional kinetic equation
Riemann-Liouville fractional integral operator
incomplete I-functions
Laplace transform
fractional differential equations
fractional generalized biologic population
Sumudu transform
Adomian decomposition method
Caputo fractional derivative
operator theory
time scales
integral inequalities
Burgers' equation
reproducing kernel method
error estimate
Dirichlet and Neumann boundary conditions
Caputo derivative
Laplace transforms
constant proportional Caputo derivative
modeling
Volterra-type fractional integro-differential equation
Hilfer fractional derivative
Lorenzo-Hartely function
generalized Lauricella confluent hypergeometric function
Elazki transform
caputo fractional derivative
predator-prey model
harvesting rate
stability analysis
equilibrium point
implicit discretization numerical scheme
the (m + 1/G')-expansion method
the (2+1)-dimensional hyperbolic nonlinear Schrödinger equation
periodic and singular complex wave solutions
traveling waves solutions
chaotic finance
fractional calculus
Atangana-Baleanu derivative
uniqueness of the solution
fixed point theory
shifted Legendre polynomials
variable coefficient
three-point boundary value problem
modified alpha equation
Bernoulli sub-equation function method
rational function solution
complex solution
contour surface
variable exponent
fractional integral
maximal operator
n/a
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