Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative

DOI10.3934/dcdss.2020040zbMath1442.34017OpenAlexW2922107580WikidataQ128181855 ScholiaQ128181855MaRDI QIDQ2180329

Kamal Shah, Fahd Jarad, K. Kanagarajan, Sugumaran Harikrishnan

Publication date: 13 May 2020

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020040

zbMATH Keywords

existenceuniqueness and stabilitygeneralized Hilfer fractional derivativerandom implicit differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Implicit ordinary differential equations, differential-algebraic equations (34A09) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

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Cites Work

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• Ulam stability of fractional impulsive differential equations with Riemann-Liouville integral boundary conditions
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• A generalized Gronwall inequality and its application to a fractional differential equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
• Fractional operators with exponential kernels and a Lyapunov type inequality
• On fractional derivatives with exponential kernel and their discrete versions
• Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Existence and stability results for nonlinear boundary value problem for implicit differential equations of fractional order
• On the \(\psi\)-Hilfer fractional derivative
• GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel