The mission of the journal of Mathematical Researches (MR) is to publish high-quality original articles that make a significant contribution to the research areas of both theoretical and applied mathematics. The journal does not have a length restriction and encourages the submission of longer articles in which more complex and detailed analysis and proofing of theorems is required. It also publishes shorter research communications (Letters) covering nascent research in some of the hottest areas of mathematical research. The journal of Mathematical Researches (MR) publishes high-quality papers in all of the traditional areas of applied and theoretical areas of mathematics, and it actively seeks to publish seminal papers in the most emerging and interdisciplinary areas in all of the mathematical sciences. The journal of Mathematical Researches (MR) wishes to lead the way by promoting high-quality research of this type. The aim of the journal of Mathematical Researches (MR) is to provide fast publication of refereed, high-quality original research papers in all areas of applied mathematical sciences. This is a broad-based journal covering all branches of mathematics and interdisciplinary research. The journal of Mathematical Researches (MR) publishes research articles that treat scientific problems using methods that are of mathematical interest. Topics of interest include, but not limited to: