Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function

DOI10.3934/math.2021465zbMath1484.26010OpenAlexW3166734474MaRDI QIDQ2130833

Khadijah M. Abualnaja, Shuang-Shuang Zhou, Y. S. Hamed, Asia Rauf, Saima Rashid, Fahd Jarad

Publication date: 25 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2021465

zbMATH Keywords

Grüss type inequalityCauchy Schwartz inequalityweighted Chebyshev inequalityweighted generalized proportional fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

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• Some results on difference polynomials sharing values
• New approach to a generalized fractional integral
• On generalized Grüss type inequalities for \(k\)-fractional integrals
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Some integral inequalities of Grüss type
• Generalized conformable fractional operators
• Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
• An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation
• New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel
• A sharp double inequality involving generalized complete elliptic integral of the first kind
• Refinements of Jensen's and McShane's inequalities with applications
• A new approach on fractional calculus and probability density function
• New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators
• Dynamics analysis of a delayed virus model with two different transmission methods and treatments
• On more general forms of proportional fractional operators
• Fundamental results on weighted Caputo-Fabrizio fractional derivative
• Some generalized fractional calculus operators and their applications in integral equations
• New results using fractional integrals
• ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
• On the branch curve of a general projection of a surface to a plane
• Quasi Grüss' type inequalities for continuous functions of selfadjoint operators in Hilbert spaces
• A New Approach to Generalized Fractional Derivatives
• The incomplete gamma functions