New Challenges Arising in Engineering Problems with Fractional and Integer Order

• Other Authors: Baskonus, Haci Mehmet (Editor), Sánchez Ruiz, Luis Manuel (Editor), Ciancio, Armando (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...