Fractional Calculus and Special Functions with Applications

Fractional Calculus and Special Functions with Applications

The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications because of their properties of interpolation between integer-order operators. This field includes classical fractional operators such as Riemann-Liouville, Weyl, Caputo, and Gr...

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Bibliographic Details
Format: eBook
Language:English
Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
Subjects:
Mathematics & science
Research & information: general
Abel equations
analytic continuation
Appell functions
Atangana-Baleanu derivative
Atangana-Baleanu fractional calculus
boundary conditions
calculus of variations
Caputo-Hadamard fractional derivative
complex integrals
coupled system
electrical circuits
error bound
existence
existence and uniqueness solution
fixed point theorem
fixed point theory
fractional derivative
fractional derivatives
fractional derivatives and integrals
fractional differential equations
fractional integrals
fractional Langevin equations
fractional modeling
fractional-order Caputo derivative operator
fractional-order Riemann-Liouville integral operator
generating function
Hadamard fractional integral
hypergeometric function
integral representation
k-beta function
k-gamma function
Laplace transforms
Mittag-Leffler functions
mixed partial derivatives
mobile phone worms
n/a
physical problems
Pochhammer symbol
Prabhakar fractional calculus
real-world problems
reduction and transformation formula
second Chebyshev wavelet
stochastic processes
system of Volterra-Fredholm integro-differential equations
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