TY  - GEN
AU  - Baskonus,Haci Mehmet
AU  - Sánchez Ruiz,Luis Manuel
AU  - Ciancio,Armando
AU  - Baskonus,Haci Mehmet
AU  - Sánchez Ruiz,Luis Manuel
AU  - Ciancio,Armando
TI  - New Challenges Arising in Engineering Problems with Fractional and Integer Order
SN  - books978-3-0365-1969-2
PY  - 2021///
CY  - Basel, Switzerland
PB  - MDPI - Multidisciplinary Digital Publishing Institute
KW  - Technology: general issues
KW  - bicssc
KW  - fractional kinetic equation
KW  - Riemann-Liouville fractional integral operator
KW  - incomplete I-functions
KW  - Laplace transform
KW  - fractional differential equations
KW  - fractional generalized biologic population
KW  - Sumudu transform
KW  - Adomian decomposition method
KW  - Caputo fractional derivative
KW  - operator theory
KW  - time scales
KW  - integral inequalities
KW  - Burgers' equation
KW  - reproducing kernel method
KW  - error estimate
KW  - Dirichlet and Neumann boundary conditions
KW  - Caputo derivative
KW  - Laplace transforms
KW  - constant proportional Caputo derivative
KW  - modeling
KW  - Volterra-type fractional integro-differential equation
KW  - Hilfer fractional derivative
KW  - Lorenzo-Hartely function
KW  - generalized Lauricella confluent hypergeometric function
KW  - Elazki transform
KW  - caputo fractional derivative
KW  - predator-prey model
KW  - harvesting rate
KW  - stability analysis
KW  - equilibrium point
KW  - implicit discretization numerical scheme
KW  - the (m + 1/G')-expansion method
KW  - the (2+1)-dimensional hyperbolic nonlinear Schrödinger equation
KW  - periodic and singular complex wave solutions
KW  - traveling waves solutions
KW  - chaotic finance
KW  - fractional calculus
KW  - Atangana-Baleanu derivative
KW  - uniqueness of the solution
KW  - fixed point theory
KW  - shifted Legendre polynomials
KW  - variable coefficient
KW  - three-point boundary value problem
KW  - modified alpha equation
KW  - Bernoulli sub-equation function method
KW  - rational function solution
KW  - complex solution
KW  - contour surface
KW  - variable exponent
KW  - fractional integral
KW  - maximal operator
KW  - n/a
N1  - Open Access
N2  - 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 over the world, studying such problems is inevitable. In this sense, the first step in understanding such problems is the mathematical forms. This comes from modeling events observed in various fields of science, such as physics, chemistry, mechanics, electricity, biology, economy, mathematical applications, and control theory. Moreover, research done involving fractional ordinary or partial differential equations and other relevant topics relating to integer order have attracted the attention of experts from all over the world. Various methods have been presented and developed to solve such models numerically and analytically. Extracted results are generally in the form of numerical solutions, analytical solutions, approximate solutions and periodic properties. With the help of newly developed computational systems, experts have investigated and modeled such problems. Moreover, their graphical simulations have also been presented in the literature. Their graphical simulations, such as 2D, 3D and contour figures, have also been investigated to obtain more and deeper properties of the real world problem
UR  - https://mdpi.com/books/pdfview/book/4282
UR  - https://directory.doabooks.org/handle/20.500.12854/76833
ER  -