Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel
DOI10.1186/s13662-020-02825-4zbMath1485.26020OpenAlexW3043212253MaRDI QIDQ2114238
Thabet Abdeljawad, Pshtiwan Othman Mohammed
Publication date: 15 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02825-4
Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)
Related Items (16)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New inequalities of Hermite-Hadamard type for convex functions with applications
- A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
- Mittag-Leffler functions and their applications
- Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with applications
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
- Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality
- Modification of certain fractional integral inequalities for convex functions
- Hermite-Hadamard type inequalities for \(F\)-convex function involving fractional integrals
- On the Hermite-Hadamard type inequality for \(\psi\)-Riemann-Liouville fractional integrals via convex functions
- Minkowski's inequality for the AB-fractional integral operator
- Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions
- On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals
- Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
- Collocation methods for fractional differential equations involving non-singular kernel
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
- The Prabhakar or three parameter Mittag-Leffler function: theory and application
- On some new properties of fractional derivatives with Mittag-Leffler kernel
- Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
- On the \(\psi\)-Hilfer fractional derivative
- System of fractional differential algebraic equations with applications
- Fractional difference operators with discrete generalized Mittag-Leffler kernels
- On generalized fractional integral inequalities for twice differentiable convex functions
- New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
- Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
- Generalized mittag-leffler function and generalized fractional calculus operators
- Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel
- A fractional model for predator-prey with omnivore
- Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals
- Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
- Special Functions for Applied Scientists
- Mittag-Leffler Functions, Related Topics and Applications
- The Fractional Derivative of a Composite Function
- The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
This page was built for publication: Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel