Some properties of pseudo-fractional operators

DOI10.1007/s11868-017-0206-zzbMath1396.26011OpenAlexW2605672049MaRDI QIDQ1782234

Azizollah Babakhani, Abdolali Neamaty, Milad Yadollahzadeh

Publication date: 19 September 2018

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-017-0206-z

zbMATH Keywords

Leibniz rulesemiringpseudo-additionpseudo-multiplicationpseudo-Laplace transformpseudo-fractional derivativespseudo-fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Pseudodifferential operators (47G30)

Related Items

Reachability of fractional dynamical systems with multiple delays in control using ψ-Hilfer pseudo-fractional derivative, \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus, Hölder and Minkowski type inequalities for pseudo-fractional integral, Analysis and applications of sequential hybrid \(\psi\)-Hilfer fractional differential equations and inclusions in Banach algebra, Hermite–Hadamard’s inequality for pseudo-fractional integral operators, Existence and uniqueness of global solution for a Cauchy problem and \(g\)-variational calculus, Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative, \(\psi\)-Mittag-Leffler pseudo-fractional operators, Pseudo-fractional differential equations and generalized \(g\)-Laplace transform, Discussion on the Leibniz rule and Laplace transform of fractional derivatives using series representation, On a Caputo-type fractional derivative respect to another function using a generator by pseudo-operations

Cites Work

• Pseudo-fractional integral inequality of Chebyshev type
• Chebyshev type inequalities for pseudo-integrals
• Pseudo-additive measures and integrals
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Idempotent integral as limit of \(g\)-integrals
• On pseudo-Mittag-Leffler functions and applications
• Generalization of the jensen inequality for pseudo-integral
• Pseudo-\(L^p\) space and convergence
• On pseudo-fractional integral inequalities related to Hermite-Hadamard type
• The stochastic fractional power dissipative equations in any dimension and applications
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Pseudo-Laplace transform
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item