New quantum estimates in the setting of fractional calculus theory
From MaRDI portal
Publication:2114264
DOI10.1186/S13662-020-02843-2zbMath1485.26007OpenAlexW3044861646MaRDI QIDQ2114264
Rehana Ashraf, Zakia Hammouch, Saima Rashid, Dumitru Baleanu, Kottakkaran Sooppy Nisar
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/s13662-020-02843-2
Hahn integral operatorreverse Hölder quantum Hahn integral inequalityreverse Minkowski quantum Hahn integral inequality
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Fractional ordinary differential equations (34A08)
Related Items (13)
Generalizations of Hermite-Hadamard like inequalities involving \(\chi_{\kappa}\)-Hilfer fractional integrals ⋮ New integral inequalities involving \(m\)-convex functions in \((p, q)\)-calculus ⋮ Fractional reduced differential transform method for the water transport in unsaturated porous media ⋮ Convergence analysis of Riemann‐Liouville fractional neural network ⋮ New quantum Hermite-Hadamard-type inequalities for \(p\)-convex functions involving recently defined quantum integrals ⋮ A study on fractional predator–prey–pathogen model with <scp>Mittag–Leffler</scp> kernel‐based operators ⋮ A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions ⋮ Inverse fractional Sturm‐Liouville problem with eigenparameter in the boundary conditions ⋮ Unnamed Item ⋮ Some monotonicity properties on \(k\)-gamma function and related inequalities ⋮ The existence of nonnegative solutions for a nonlinear fractional \(q\)-differential problem via a different numerical approach ⋮ ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE ⋮ Well-posedness of inverse Sturm-Liouville problem with fractional derivative
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Results for mild solution of fractional coupled hybrid boundary value problems
- New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
- On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
- Ostrowski type inequalities involving conformable fractional integrals
- Hermite-Hadamard type inequalities for fractional integrals via Green's function
- Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau
- New concepts of Hahn calculus and impulsive Hahn difference equations
- Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
- Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals
- On fractional Hahn calculus
- New concepts of fractional Hahn's \(q,\omega \)-derivative of Riemann-Liouville type and Caputo type and applications
- Existence results in Banach space for a nonlinear impulsive system
- Existence results for fractional Hahn difference and fractional Hahn integral boundary value problems
- Minkowski's inequality for the AB-fractional integral operator
- Existence of solutions for equations and inclusions of multiterm fractional \(q\)-integro-differential with nonseparated and initial boundary conditions
- Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
- Existence and uniqueness of solutions for multi-term fractional \(q\)-integro-differential equations via quantum calculus
- New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus
- Existence of solutions for a system of singular sum fractional \(q\)-differential equations via quantum calculus
- Grüss-type integrals inequalities via generalized proportional fractional operators
- Green function's properties and existence theorems for nonlinear singular-delay-fractional differential equations
- Inequalities for \(n\)-class of functions using the Saigo fractional integral operator
- Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions
- Stability analysis and a numerical scheme for fractional Klein‐Gordon equations
- Existence of Solutions for a Class of Caputo Fractional q-Difference Inclusion on Multifunctions by Computational Results
- Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
This page was built for publication: New quantum estimates in the setting of fractional calculus theory
