ABSTRACT
This article deals with a fractional diffusion equation of the second-order differential Volterra operator and fractional integral condition. Existence and uniqueness of a weak solution in an appropriate sense as well as some regularity results are obtained by the use of Rothe’s method. Finally, an example is given to demonstrate the effectiveness of the proposed approach.
Acknowledgement
The authors are indebted to Dr. Djamel Bellaouar, Professor of Mathematics in the University of Guelma, for his sincere help on revising this paper.