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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Year of Publication:2021
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(oapen)https://directory.doabooks.org/handle/20.500.12854/76833
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spelling Baskonus, Haci Mehmet edt
New Challenges Arising in Engineering Problems with Fractional and Integer Order
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
1 electronic resource (182 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
Technology: general issues bicssc
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
3-0365-1968-8
3-0365-1969-6
Sánchez Ruiz, Luis Manuel edt
Ciancio, Armando edt
Baskonus, Haci Mehmet oth
Sánchez Ruiz, Luis Manuel oth
Ciancio, Armando oth
language English
format eBook
author2 Sánchez Ruiz, Luis Manuel
Ciancio, Armando
Baskonus, Haci Mehmet
Sánchez Ruiz, Luis Manuel
Ciancio, Armando
author_facet Sánchez Ruiz, Luis Manuel
Ciancio, Armando
Baskonus, Haci Mehmet
Sánchez Ruiz, Luis Manuel
Ciancio, Armando
author2_variant h m b hm hmb
r l m s rlm rlms
a c ac
author2_role HerausgeberIn
HerausgeberIn
Sonstige
Sonstige
Sonstige
title New Challenges Arising in Engineering Problems with Fractional and Integer Order
spellingShingle New Challenges Arising in Engineering Problems with Fractional and Integer Order
title_full New Challenges Arising in Engineering Problems with Fractional and Integer Order
title_fullStr New Challenges Arising in Engineering Problems with Fractional and Integer Order
title_full_unstemmed New Challenges Arising in Engineering Problems with Fractional and Integer Order
title_auth New Challenges Arising in Engineering Problems with Fractional and Integer Order
title_new New Challenges Arising in Engineering Problems with Fractional and Integer Order
title_sort new challenges arising in engineering problems with fractional and integer order
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2021
physical 1 electronic resource (182 p.)
isbn 3-0365-1968-8
3-0365-1969-6
illustrated Not Illustrated
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