Help with this operator

eljose79

let be the non-linear operator acting this way:

K(f)=g K(f)=(Int(c,x)f(t)dt)**r

where c and r are real constant and f is unknown.

in fact can we relate K(f) and solve it by applying the fractional derivatives?..in fact can be K(f) expressed as combination of fractional derivatives?..

nbo10

Originally posted by eljose79
let be the non-linear operator acting this way:

K(f)=g K(f)=(Int(c,x)f(t)dt)**r

where c and r are real constant and f is unknown.

in fact can we relate K(f) and solve it by applying the fractional derivatives?..in fact can be K(f) expressed as combination of fractional derivatives?..
And what are fractional derivatives???

JMD

You mean partial derivatives?

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving