Nonlocal boundary value problems for \(\psi\)-Hilfer fractional-order Langevin equations

DOI10.1186/s13661-021-01511-yzbMath1497.34012OpenAlexW3165682122MaRDI QIDQ2126771

D. Vivek, Cholticha Nuchpong, Sotiris K. Ntouyas, Jessada Tariboon

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-021-01511-y

zbMATH Keywords

existencefixed pointboundary value problemsfractional differential equationsLangevin equations\(\psi\)-Hilfer fractional derivative

Mathematics Subject Classification ID

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)

Related Items

Multipoint BVP for the Langevin equation under \(\varphi\)-Hilfer fractional operator ⋮ On the Menger probabilistic bipolar metric spaces: fixed point theorems and applications ⋮ On coupled system of nonlinear \(\Psi\)-Hilfer hybrid fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Langevin equation with two fractional orders
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Systems of fractional Langevin equations of Riemann-Liouville and Hadamard types
• Stability of \(\psi\)-Hilfer impulsive fractional differential equations
• Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative
• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
• Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions
• Existence and uniqueness of solutions for system of Hilfer-Hadamard sequential fractional differential equations with two point boundary conditions
• On the \(\psi\)-Hilfer fractional derivative
• Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type
• Existence of mild solutions to Hilfer fractional evolution equations in Banach space
• Three-point boundary value problems for the Langevin equation with the Hilfer fractional derivative
• Hilfer fractional stochastic integro-differential equations
• Periodic impulsive fractional differential equations
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Controllability of coupled systems for impulsiveφ-Hilfer fractional integro-differential inclusions
• Basic Theory of Fractional Differential Equations