On the diophantaine equations $J_N+J_M=F_A$ & $F_N+F_M=J_A$

Seif Tarek, Ahmed Gaber, M. Anwar

Let ${\left\{F_k\right\}}_{k\ge 0}$ be the Fibonacci sequence defined by $F_k=F_{F-1}+F_{k-2}$ for all $n\ge 2$ with initials $F_0=0F_1=1$. Let $\left\lbrace J…