New results on complex conformable integral

DOI10.3934/math.2020492zbMath1484.30002OpenAlexW3088434736MaRDI QIDQ2132323

Yanyan Li

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020492

zbMATH Keywords

conformable fractional derivativeCauchy's integral theoremconformable fractional integralfractional analytic functionsfractional contour integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) General properties of functions of one complex variable (30A99)

Related Items (12)

Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique ⋮ A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type ⋮ Unnamed Item ⋮ Approximation of functions by complex conformable derivative bases in Fréchet spaces ⋮ Conformable fractional derivative in commutative algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalized conformable mean value theorems with applications to multivariable calculus ⋮ A study on the solutions of a multiterm FBVP of variable order ⋮ Some qualitative analyses of neutral functional delay differential equation with generalized Caputo operator ⋮ Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method ⋮ Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations

Cites Work

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• On conformable fractional calculus
• General conformable fractional derivative and its physical interpretation
• Forced oscillation of fractional differential equations via conformable derivatives with damping term
• A new definition of fractional derivative
• Conformable Laplace transform of fractional differential equations
• New exact solitary wave solutions to the space-time fractional differential equations with conformable derivative
• $\alpha$-Differentiable functions in complex plane
• Total fractional differentials with applications to exact fractional differential equations

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