This paper considers existence of solutions for a class of first order impulsive differential equation with integral boundary value conditions. We present a new comparison theorem and show that the monotone iterative technique coupled with lower and upper solutions is still valid. The results we obt
On the functional integral equations of mixed type and integro-differential equations of fractional orders
โ Scribed by Wagdy G. El-Sayed; Ahmed M.A. El-Sayed
- Book ID
- 108395922
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 183 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
There are occasions when a linear autonomous functional differential equation of mixed type can be reduced to a neutral or retarded equation. A necessary condition for such reducibility is shown to be that the set of solutions of the characteristic equation is bounded on the right in the complex pla
## An analytical treatment of a fractional generalisation of the free electron laser (FEL) equation is given, whereby a closed form solution is obtained in terms of Kummer functions @(a, c; z). Subsequently, Tau method approximation of these functions facilitates the numerical evaluation of the so
We discuss the solvability of integral equations associated with initial value problems for a nonlinear differential equation of fractional order. The differential operator is the Caputo fractional derivative and the inhomogeneous term depends on the fractional derivative of lower orders. We obtain