Author: "Nisar, Kottakkaran Sooppy" / Journal: fractals / Topic: fractional differential equations and integro-differential equations - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Nisar, Kottakkaran Sooppy" Topic fractional differential equations Topic integro-differential equations Journal fractals

Author: NISAR, KOTTAKKARAN SOOPPY, VIJAYARAJ, V., VALLIAMMAL, N., LOGESWARI, K., RAVICHANDRAN, C., ABDEL-ATY, ABDEL-HALEEM, and YAHIA, IBRAHIM S.
Subjects: *FUNCTIONAL differential equations, *FRACTIONAL calculus, *FRACTIONAL differential equations, *IMPULSIVE differential equations, *NONLINEAR functional analysis, *INTEGRO-differential equations
Published: 2022
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Author: AKBAR, MUHAMMAD, NAWAZ, RASHID, AHSAN, SUMBAL, NISAR, KOTTAKKARAN SOOPPY, SHAH, KAMAL, MAHMOUD, EMAD E., and ALQARNI, M. M.
Subjects: INTEGRO-differential equations, FRACTIONAL powers, POWER series, FRACTIONAL differential equations, CAPUTO fractional derivatives, SYSTEMS engineering
Abstract: Fractional differential and integral equations are focus of the researchers owing to their tremendous applications in different field of science and technology, such as physics, chemistry, mathematical biology, dynamical system and engineering. In this work, a power series approach called Residual Power Series Method (RPSM) is applied for the solution of fractional (non-integer) order integro-differential equations (FIDEs). The Caputo sense is used for calculating fractional derivatives. Comparison of the obtained solution is made with the Trigonometric Transform Method (TTM) and Optimal Homotopy Asymptotic Method (OHAM). There is no restrictive condition on the proposed solution. The presented technique is simple in applicability and easily computable. [ABSTRACT FROM AUTHOR]
Published: 2022
Full Text: View/download PDF

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