مشخصات پژوهش

صفحه نخست /The existence of the ...
عنوان The existence of the solutions of some inclusion problems involving Caputo and Hadamard fractional derivatives by applying some new contractions
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Caputo and Hadamard fractional inclusions, fixed points, multi-valued-mapping.
چکیده In this article, we investigate the existence results of the solutions for the new types of inclusion problems involving Caputo and Hadamard fractional derivatives. Utilizing some extended contractions that are more general than the previous ones which have been used in the litratures, we deduce some new and interesting results. In this way, we use $\alpha-\psi$-contractions and multi-functions. Applying a new concept of ${\alpha_{s}}^*$-admissibility for Hardy-Rogers-type $(\hbar, \alpha)-$contractions, we get our findings. Finally, some examples are given to delineate the efficiency of the theoretical results.
پژوهشگران حجت افشاری (نفر اول)، سبیله کلانتری (نفر سوم)، وحید رومی (نفر دوم)