Differential Equation Analysis in Biomedical Science and Engineering

2014 ◽  
Author(s):  
William E. Schiesser
Keyword(s):  
Differential Equation ◽  
Biomedical Science ◽  
Science And Engineering ◽  
Equation Analysis

scholarly journals A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

2021 ◽  
Vol 10 (1) ◽  
pp. 414-427
Author(s):  
Mohammed K. A. Kaabar ◽  
Vida Kalvandi ◽  
Nasrin Eghbali ◽  
Mohammad Esmael Samei ◽  
Zailan Siri ◽  
...  
Keyword(s):  
Differential Equation ◽  
Integral Equation ◽  
Differential Equations ◽  
Fractional Integral ◽  
Future Research ◽  
Ulam Stability ◽  
Science And Engineering ◽  
Fractional Integral Equation ◽  
Rassias Stability

Abstract An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation. We study both of the Hyers–Ulam stability (HUS) and ML–Hyers–Ulam–Rassias stability (ML-HURS) in detail for our proposed differential equation (DEq). Our proposed technique unifies various differential equations’ classes. Therefore, this technique can be further applied in future research works with applications to science and engineering.

scholarly journals STRUM-LIOUVILLE FORM AND OTHER IMPORTANT PROPERTIES OF MODIFIED ORTHOGONAL BOUBAKER POLYNOMIALS

2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Nazeer Ahmed Khoso
Keyword(s):  
Differential Equation ◽  
Weight Function ◽  
Recurrence Relation ◽  
Science And Engineering ◽  
Boubaker Polynomials ◽  
Three Term Recurrence Relation

In this paper, some classical properties of modified orthogonal Boubaker polynomials (MOBPs) are considered, which are: the three-term recurrence relation, Rodriguez formula, characteristic differential equation and the Strum-Liouville form. The only properties of the MOBPs known so far are orthogonality evidence, weight function, orthonormality evidence and zeros. The new properties established in this work will to the applicability of the MOBPs in different areas of science and engineering where the classical non-orthogonal Boubaker polynomials could be applied, and even in cases where these cannot be applied.

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