Theory and analysis of partial differential equations with a \(\psi \)-Caputo fractional derivative

DOI10.1216/RMJ-2019-49-4-1355zbMath1423.35417OpenAlexW2971164376MaRDI QIDQ2323932

K. Kanagarajan, D. Vivek, Elsayed M. Elsayed

Publication date: 13 September 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1567044043

zbMATH Keywords

existencepartial differential equationUlam stability\(\psi \)-fractional derivative

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (7)

Fixed point and endpoint theories for two hybrid fractional differential inclusions with operators depending on an increasing function ⋮ Novel existence techniques on the generalized \(\phi\)-Caputo fractional inclusion boundary problem ⋮ Existence criteria via \(\alpha-\psi\)-contractive mappings of \(\phi\)-fractional differential nonlocal boundary value problems ⋮ An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation ⋮ Finite-approximate controllability of impulsive \(\psi\)-Caputo fractional evolution equations with nonlocal conditions ⋮ Unnamed Item ⋮ ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES

Cites Work

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• Ulam's type stability of impulsive ordinary differential equations
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Darboux problem for perturbed partial differential equations of fractional order with finite delay
• The method of upper, lower solutions and hyperbolic partial differential equations
• A Caputo fractional derivative of a function with respect to another function
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
• On fractional order derivatives and Darboux problem for implicit differential equations
• Existence of solutions of systems of partial differential equations of fractional order

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