On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation

DOI10.1186/s13662-015-0712-3zbMath1422.34064OpenAlexW2191053273WikidataQ21999336 ScholiaQ21999336MaRDI QIDQ1795535

Sotiris K. Ntouyas, Chatthai Thaiprayoon, Jessada Tariboon

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0712-3

zbMATH Keywords

fixed point theoremsnonlocal boundary conditionsfractional differential equationsKatugampola fractional integralgeneralized fractional integral

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional ordinary differential equations (34A08)

Related Items (9)

Noninstantaneous impulsive inequalities via conformable fractional calculus ⋮ Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative ⋮ Unnamed Item ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals ⋮ Boundedness and power-type decay of solutions for a class of generalized fractional Langevin equations ⋮ Unnamed Item ⋮ Fractional differential equations of Caputo-Katugampola type and numerical solutions ⋮ Some integral inequalities for m-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function ⋮ The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative

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