Computing Hadamard type operators of variable fractional order

DOI10.1016/j.amc.2014.12.071zbMath1338.26004arXiv1412.5229OpenAlexW2063190919WikidataQ57650623 ScholiaQ57650623MaRDI QIDQ299988

Ricardo Almeida, Delfim F. M. Torres

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5229

zbMATH Keywords

numerical methodsfractional calculusfractional differential equationsfractional calculus of variationsvariable fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items

Darbo fixed point criterion on solutions of a Hadamard nonlinear variable order problem and Ulam-Hyers-Rassias stability, On the boundary value problems of Hadamard fractional differential equations of variable order, Applications of variable-order fractional operators: a review, Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain, Regional observability for Hadamard-Caputo time fractional distributed parameter systems, A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications, On Ulam-Hyers-Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Caputo-type modification of the Hadamard fractional derivatives
• The Hahn quantum variational calculus
• New approach to a generalized fractional integral
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• Variable order and distributed order fractional operators
• Fractional integration and differentiation of variable order
• On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
• Existence of minimizers for generalized Lagrangian functionals and a necessary optimality condition - application to fractional variational problems.
• Study on some qualitative properties for solutions of a certain two-dimensional fractional differential system with Hadamard derivative
• Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative
• Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus
• Mechanics with variable-order differential operators
• The variable viscoelasticity oscillator
• Integration and differentiation to a variable fractional order
• Fractional Variational Calculus of Variable Order
• Computational Methods in the Fractional Calculus of Variations
• Basic Theory of Fractional Differential Equations
• NONLINEAR DIFFERENTIAL EQUATIONS WITH MARCHAUD‐HADAMARD-TYPE FRACTIONAL DERIVATIVE IN THE WEIGHTED SPACE OF SUMMABLE FUNCTIONS