Dynamical significance of generalized fractional integral inequalities via convexity

DOI10.3934/math.2021565OpenAlexW3176983980MaRDI QIDQ2671034

M. Zakarya, Rana Safdar Ali, Gauhar Rahman, Ahmed Morsy, Sabila Ali, Shahid Mubeen, Kottakkaran Sooppy Nisar, Sunil Dutt Purohit

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021565

zbMATH Keywords

Hadamard inequalityfractional inequalitiesgeneralized fractional inequalities\((\eta_1, \eta_2)\)-convex functionWright generalized Bessel function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Generalized Hermite-Hadamard-type integral inequalities for \(h\)-Godunova-Levin functions ⋮ DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION ⋮ Some new Gronwall-Bellman-Bihari type integral inequality associated with \(\psi\)-Hilfer fractional derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Fejér-type inequalities. I.
• On Fejer type inequalities for convex mappings utilizing fractional integrals of a function with respect to another function
• Convex functions, partial orderings, and statistical applications
• On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function
• The Nehari manifold for a boundary value problem involving Riemann-Liouville fractional derivative
• Hermite-Hadamard-Fejér inequality related to generalized convex functions via fractional integrals
• Some inequalities via fractional conformable integral operators
• Chebyshev type inequalities via generalized fractional conformable integrals
• New fractional inequalities of midpoint type via \(s\)-convexity and their application
• Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via conformable fractional integrals
• A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
• On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions
• Integral transforms of an extended generalized multi-index Bessel function
• General Raina fractional integral inequalities on coordinates of convex functions
• Fractional operators with generalized Mittag-Leffler \(k\)-function
• New discrete inequalities of Hermite-Hadamard type for convex functions
• Some fractional operators with the generalized Bessel-Maitland function
• Some new tempered fractional Pólya-Szegö and Chebyshev-type inequalities with respect to another function
• On generalized fractional integral inequalities for twice differentiable convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS
• On φ-convex functions
• On η-convexity
• What is invexity?
• Convex Transformable Programming Problems and Invexity
• A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force
• On Maitland's Generalised Bessel Function

This page was built for publication: Dynamical significance of generalized fractional integral inequalities via convexity