Monotonicity analysis of fractional proportional differences

DOI10.1155/2020/4867927zbMath1459.26016OpenAlexW3022656670MaRDI QIDQ2188000

Shahd Owies, Iyad Suwan, Thabet Abdeljawad, Muayad Abussa

Publication date: 3 June 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4867927

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70)

Related Items (4)

On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel ⋮ A review of definitions of fractional differences and sums ⋮ An analysis of polynomial sequences and their application to discrete fractional operators ⋮ Monotonicity results for sequential fractional differences of mixed orders with negative lower bound

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
• Monotonicity results for fractional difference operators with discrete exponential kernels
• Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel
• Monotonicity results for \(h\)-discrete fractional operators and application
• On fractional derivatives with exponential kernel and their discrete versions
• Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel
• Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
• Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences
• A new collection of real world applications of fractional calculus in science and engineering
• On delta and nabla Caputo fractional differences and dual identities
• A convexity result for fractional differences
• Dual identities in fractional difference calculus within Riemann
• Fractional variational optimal control problems with delayed arguments
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• New fractional derivatives with non-singular kernel applied to the Burgers equation
• An almost sharp monotonicity result for discrete sequential fractional delta differences
• Monotonicity results for delta and nabla caputo and Riemann fractional differences via dual identities
• Robot Path Control with Al-Alaoui Rule for Fractional Calculus Discretization
• Analysis of discrete fractional operators
• Monotonicity results for delta fractional differences revisited

This page was built for publication: Monotonicity analysis of fractional proportional differences