NON-LOCAL PROBLEMS WITH INTEGRAL GLUING CONDITION FOR LOADED MIXED TYPE EQUATIONS INVOLVING THE CAPUTO FRACTIONAL DERIVATIVE

作者：Abdullaev Obidjon Kh^*; Sadarangani Kishin B

来源：Electronic Journal of Differential Equations, 2016, 164.

• Caputo fractional derivatives
• loaded equation
• non-local problem
• integral gluing condition
• existence
• uniqueness

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.

• 出版日期2016-6-28