Further study on the conformable fractional Gauss hypergeometric function
From MaRDI portal
Publication:2671060
DOI10.3934/math.2021588OpenAlexW3177682137MaRDI QIDQ2671060
Mohra Zayed, Mahmoud Abul-Ez, Ali Youssef
Publication date: 3 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.12242
differential operatorsfractional differential equationscontiguous relationsGauss hypergeometric functionsconformable fractional derivatives
Fractional derivatives and integrals (26A33) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05) Functional-differential equations with fractional derivatives (34K37)
Related Items
Analytical solution of one-dimensional nonlinear conformable fractional telegraph equation by reduced differential transform method ⋮ Further developments of Bessel functions via conformable calculus with applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generating functions for the generalized Gauss hypergeometric functions
- On conformable fractional calculus
- Extension of gamma, beta and hypergeometric functions
- Extension of Euler's beta function
- Extended hypergeometric and confluent hypergeometric functions
- A new approach to generalized Fibonacci and Lucas numbers with binomial coefficients
- Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems
- On the properties of Lucas numbers with binomial coefficients
- Bessel polynomial expansions in spaces of holomorphic functions
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- General conformable fractional derivative and its physical interpretation
- Unique solutions for a new coupled system of fractional differential equations
- Contiguous function relations for \(k\)-hypergeometric functions
- A stretched logistic equation for pandemic spreading
- Validity of fractal derivative to capturing chaotic attractors
- A new definition of fractional derivative
- A peculiar application of Atangana-Baleanu fractional derivative in neuroscience: chaotic burst dynamics
- A general formulation and solution scheme for fractional optimal control problems
- Practical stability analysis with respect to manifolds and boundedness of differential equations with fractional-like derivatives
- Consensus problems of linear multi-agent systems involving conformable derivative
- Dynamical system of the growth of COVID-19 with controller
- Derivatives of any order of the Gaussian hypergeometric function2F1(a,b,c;z) with respect to the parametersa,bandc
- Generalized Hypergeometric Functions
- On the construction of generalized monogenic Bessel polynomials
- Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points
- Fibonacci and Lucas Numbers With Applications
- Linear methods of summing Fourier series and approximation in weighted Orliczspaces
- APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
- Integral estimates of the solutions of fractional-like equations of perturbed motion
- Some results on convolved (p,q)-Fibonacci polynomials
- Bernoulli special monogenic polynomials with the difference and sum polynomial bases
