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- Title
FRACTIONAL POWER SERIES APPROACH FOR THE SOLUTION OF FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS.
- Authors
AKBAR, MUHAMMAD; NAWAZ, RASHID; AHSAN, SUMBAL; NISAR, KOTTAKKARAN SOOPPY; SHAH, KAMAL; MAHMOUD, EMAD E.; ALQARNI, M. M.
- 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.
- Subjects
INTEGRO-differential equations; FRACTIONAL powers; POWER series; FRACTIONAL differential equations; CAPUTO fractional derivatives; SYSTEMS engineering
- Publication
Fractals, 2022, Vol 30, Issue 1, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X22400163