Study of Fractional Calculus And Solutions of Fractional Differential Equations Using Spline Collocation Method

Abstract

The Fractional calculus is a part of Mathematics. Fractional calculus has achieved popularity and importance during the past three decades. The application of this subject is widely used in various fields and new theorems and formulas are derived by the researches for sake of its application. Fractional Calculus is applied to almost every field of Mathematics like Special Functions, physical Science, Engineering and Technology etc. It is safe to say that almost no discipline of modern engineering and science remains untouched by this tool and techniques of fractional calculus. newlineIn our present work, we establish the fractional derivatives and fractional integrals involving special function and hypergeometric functions are investigated and new theorems are obtained. Certain fractional differential equations using B-spline collocation method are investigated and new theorems are derived newline