fractional integrals and derivatives

5) Use series expansion definitions to find (B,v,y) such that for any a > 0, l'e at = t Ev,y(at), t> 0. ra Formula n japaf(t) = f(0) -ra-k+1) Da-() 29- k=1 D1= 1n-an>a. Ex,8(z) = r(ak + 8) 167 6(2) 10(x) dx [ () 18${") ds. 5) Use series expansion definitions to find (B,v,y) such that for any a > 0, 1'e at = t Ev.y(at), t>0. n Formula Dakf(0) 1"D"f(t) = f(t)- ra-k +1) Dla = 13-a,n>a. E,8(2) - rak + 3) k=1 0(2) 19 (x) dx luce (*) 7 (x) dx. ko 5) Use series expansion definitions to find (B,v,y) such that for any a > 0, l'e at = t Ev,y(at), t> 0. ra Formula n japaf(t) = f(0) -ra-k+1) Da-() 29- k=1 D1= 1n-an>a. Ex,8(z) = r(ak + 8) 167 6(2) 10(x) dx [ () 18${") ds. 5) Use series expansion definitions to find (B,v,y) such that for any a > 0, 1'e at = t Ev.y(at), t>0. n Formula Dakf(0) 1"D"f(t) = f(t)- ra-k +1) Dla = 13-a,n>a. E,8(2) - rak + 3) k=1 0(2) 19 (x) dx luce (*) 7 (x) dx. ko