SOME RECENT DEVELOPMENTS ON DYNAMICAL ℏ-DISCRETE FRACTIONAL TYPE INEQUALITIES IN THE FRAME OF NONSINGULAR AND NONLOCAL KERNELS
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Publication:5070836
DOI10.1142/S0218348X22401107zbMath1487.39011OpenAlexW3202484011MaRDI QIDQ5070836
Elbaz I. Abouelmagd, Saima Rashid, Fozia Bashir Farooq, Aasma Khalid, Yu-Ming Chu
Publication date: 14 April 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22401107
discrete fractional calculusMinkowski inequalityfractional sums\(\hbar\)-discrete Mittag-Leffler function
Fractional derivatives and integrals (26A33) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Fractional ordinary differential equations (34A08)
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Cites Work
- Some discrete fractional inequalities of Chebyshev type
- Inequalities for \(\alpha\)-fractional differentiable functions
- Necessary optimality conditions for fractional difference problems of the calculus of variations
- The Laplace transform in discrete fractional calculus
- On the Hermite-Hadamard inequality and other integral inequalities involving two functions
- Modeling with fractional difference equations
- Monotonicity results for \(h\)-discrete fractional operators and application
- On fractional derivatives with generalized Mittag-Leffler kernels
- New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel
- Some inequalities for a new class of convex functions with applications via local fractional integral
- More new results on integral inequalities for generalized \(\mathcal{K}\)-fractional conformable integral operators
- Minkowski's inequality for the AB-fractional integral operator
- W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws
- Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs
- A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel
- Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function
- A new approach on fractional calculus and probability density function
- Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation
- New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators
- More efficient estimates via \(\hslash\)-discrete fractional calculus theory and applications
- On some new double dynamic inequalities associated with Leibniz integral rule on time scales
- Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
- Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences
- Quantum integral inequalities with respect to Raina's function via coordinated generalized \(\Psi\)-convex functions with applications
- Some new bounds analogous to generalized proportional fractional integral operator with respect to another function
- On delta and nabla Caputo fractional differences and dual identities
- Retracted: Combined impact of Cattaneo-Christov double diffusion and radiative heat flux on bio-convective flow of Maxwell liquid configured by a stretched nano-material surface
- Retracted: Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel
- Numerical solutions with linearization techniques of the fractional Harry Dym equation
- Analytical and approximate solutions of fractional partial differential-algebraic equations
- System analysis of HIV infection model with \(CD 4^+T\) under non-singular kernel derivative
- A generalization of truncated M-fractional derivative and applications to fractional differential equations
- Fractional interaction of financial agents in a stock market network
- Solitons and other solutions of \((3+1)\)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation
- Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems
- New exact solutions for generalized \((3+1)\) shallow water-like (SWL) equation
- The new extended rational SGEEM for construction of optical solitons to the \((2+1)\)-dimensional Kundu-Mukherjee-Naskar model
- Discrete Fractional Calculus
- Some new discrete fractional inequalities and their applications in fractional difference equations
- Discrete fractional calculus with the nabla operator
- Suboptimal control of fractional-order dynamic systems with delay argument
- NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ℏ)-CONVEX FUNCTIONS IN HILBERT SPACE
- NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS
- ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE
- SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS
- New variable-order fractional chaotic systems for fast image encryption
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