نوع مقاله : مقاله پژوهشی
نویسنده
عضو هیات علمی گروه ریاضی، دانشگاه آزاد اسلامی، آشتیان، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسنده [English]
In this article, using the technique of the measure of non-compactness and the Petryshyn's fixed point theorem in Banach algebra an existence theorem for some Hadamard proportional fractional integral equations is provided. The study of these integral equations are important because they contain lots of particular cases of integral equations that arise in many branches of nonlinear analysis and its applications. Comparing Petryshyn's fixed point theorem to Schauder and Darbo's fixed point theorems, that is, it enables us to skip demonstrating closed, convex, and compactness properties on the investigated operators. Finally, some examples are provided for the accuracy and efficiency of the obtained results.
کلیدواژهها [English]
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