Some results on fractional integro – differential equations with Riemann-Liouville fractional integral boundary conditions
نویسندگان
چکیده
منابع مشابه
Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
* Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary condi...
متن کاملExistence results of fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions
*Correspondence: [email protected] 1Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand 2Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Road, Bangkok, 10400, Thailand Abstract In this article, we present some new existence and uniqueness results for nonlinear fractional integro-differential equations...
متن کاملPhysical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
On a series of examples from the field of viscoelasticity we demonstrate that it is possible to attribute physical meaning to initial conditions expressed in terms of Riemann-Liouville fractional derivatives, and that it is possible to obtain initial values for such initial conditions by appropriate measurements or observations.
متن کاملExtremal solutions for p-Laplacian fractional differential systems involving the Riemann-Liouville integral boundary conditions
where D , D , and D are the standard Riemann-Liouville fractional derivatives, I and I are the Riemann-Liouville fractional integrals, and 0 < γ < 1 < β < 2 < α < 3, ν,ω > 0, 0 < η, ξ < 1, k ∈R, f ∈ C([0, 1]×R×R,R), g ∈ C([0, 1]×R,R). The p-Laplacian operator is defined as φp(t) = |t|p–2t, p > 1, and (φp) = φq, 1 p + 1 q = 1. The study of boundary value problems in the setting of fractional cal...
متن کاملIntegro-differential Equations of Fractional Order with Nonlocal Fractional Boundary Conditions Associated with Financial Asset Model
In this article, we discuss the existence of solutions for a boundaryvalue problem of integro-differential equations of fractional order with nonlocal fractional boundary conditions by means of some standard tools of fixed point theory. Our problem describes a more general form of fractional stochastic dynamic model for financial asset. An illustrative example is also presented. 1. Formulation ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2018
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/1139/1/012015