Article

Non-local problems with integral gluing condition for loaded mixed type equations involving the Caputo fractional derivative

Obidjon Khayrullayevich Abdullaev National Univ. of Uzbekistan, Uzbekistan Kishin Sadarangani Univ. of Las Palmas de Gran Canaria, Spain

Acceda (Universidad de Las Palmas de Gran Canaria)repository2018en

ABI

Abstract

In this work, we study the existence and uniqueness of solutions to non-local boundary value problems with integral gluing condition. Mixed type equations (parabolic-hyperbolic) involving the Caputo fractional derivative have loaded parts in Riemann-Liouville integrals. Thus we use the method of integral energy to prove uniqueness, and the method of integral equations to prove existence.

Topics

Differential Equations and Boundary Problems Fractional Differential Equations Solutions Differential Equations and Numerical Methods

Citations and references

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