scientific article; zbMATH DE number 6994553

zbMath1409.34068MaRDI QIDQ4562749

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Publication date: 18 December 2018

Full work available at URL: http://online.watsci.org/contents2018/v25n5a.html

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zbMATH Keywords

existenceuniquenessnonlocal conditionpantograph equation\(\psi\)-Hilfer fractional derivative

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Functional-differential equations with fractional derivatives (34K37)

Related Items (17)

Further results on existence of positive solutions of generalized fractional boundary value problems ⋮ Nonlocal boundary value problems for \(\psi\)-Hilfer fractional-order Langevin equations ⋮ Ulam-Hyers-Mittag-Leffler stability for a \(\psi \)-Hilfer problem with fractional order and infinite delay ⋮ Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via \(\psi\)-Hilfer fractional derivative ⋮ On the qualitative analysis of the fractional boundary value problem describing thermostat control model via \(\psi\)-Hilfer fractional operator ⋮ Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions ⋮ A generalized contraction mapping applied in solving modified implicit \(\phi\)-Hilfer pantograph fractional differential equations ⋮ Study of a sequential \(\psi \)-Hilfer fractional integro-differential equations with nonlocal BCs ⋮ Unnamed Item ⋮ Lyapunov-type inequalities for fractional Langevin differential equations ⋮ The existence and Ulam-Hyers stability results for \(\psi\)-Hilfer fractional integrodifferential equations ⋮ Unnamed Item ⋮ Fractional integrodifferential equations with nonlocal conditions and generalized Hilfer fractional derivative ⋮ Three-point boundary value problems for the Langevin equation with the Hilfer fractional derivative ⋮ Existence, uniqueness and stability of fractional impulsive functional differential inclusions ⋮ Applications of new contraction mappings on existence and uniqueness results for implicit \(\phi\)-Hilfer fractional pantograph differential equations ⋮ Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense

Cites Work

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• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
• Oscillation of a pantograph differential equation with impulsive perturbations
• Existence of solutions of nonlinear fractional pantograph equations
• On the generalized pantograph functional-differential equation

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