On new existence results for fractional differential equations in quaternionic analysis

DOI10.1007/S00006-014-0522-9zbMath1321.35254OpenAlexW1993898078MaRDI QIDQ497169

Zhan-Peng Yang, Tian-Zhou Xu

Publication date: 23 September 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-014-0522-9

zbMATH Keywords

fixed pointquaternionic analysisregular functionfractional differential equationassociated operator

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Cites Work

• Euler method for solving hybrid fuzzy differential equation
• A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
• A new method for solving fuzzy linear differential equations
• Initial value problems in quaternionic analysis with a disturbed Dirac operator
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Initial value problems with regular initial functions in quaternionic analysis
• Quaternionic analysis
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems II. algebras of singular lntegral operators and riemann type boundary value problems
• Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems
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