3) Caputo derivative of order yof a [y] differentiable u function with y> 0 is given t 1 cDYu(t) = (t – x)lyl-y-1u(rl)(x)dx n. r(y – [y]. 0. is given with. According to this; For m = 1, 2, 3, ... show that. [tv-1E,»(At")j'= tv-1-mE,y-m(At")
3) Caputo derivative of order yof a [y] differentiable u function with y> 0 is given t 1 cDYu(t) = (t – x)lyl-y-1u(rl)(x)dx n. r(y – [y]. 0. is given with. According to this; For m = 1, 2, 3, ... show that. [tv-1E,»(At")j'= tv-1-mE,y-m(At")
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3) Caputo derivative of order yof a [y] differentiable u function
with y> 0 is given
1
çDYu(t) =
T(y – Iri, x)yl-y-1u(Irl)(x)dx
(t –
is given with. According to this;
for m = 1, 2, 3,...
show that.
[tv-1Ev(At")] = tv-1-mEz,v-m(At")](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F099c607d-b532-4fc4-924b-6ba426527f3f%2Fea3f2089-b542-4fcb-b26c-3e7cbe40f142%2Fw1jkb4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3) Caputo derivative of order yof a [y] differentiable u function
with y> 0 is given
1
çDYu(t) =
T(y – Iri, x)yl-y-1u(Irl)(x)dx
(t –
is given with. According to this;
for m = 1, 2, 3,...
show that.
[tv-1Ev(At")] = tv-1-mEz,v-m(At")
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