New challenges arising in engineering problems with fractional and integer order

HM Baskonus, LM Sánchez Ruiz, A Ciancio - Fractal and Fractional, 2021 - mdpi.com
Mathematical models have been frequently studied in recent decades in order to obtain the
deeper properties of real-world problems. In particular, if these problems, such as finance …

On some computable solutions of unified families of fractional differential equations

SC Pandey - São Paulo Journal of Mathematical Sciences, 2022 - Springer
In the present investigation after reviewing fractional derivatives and integrals, we study the
Lorenzo–Hartley's G-function and its connections with other functions for fractional calculus …

A new technique to solve linear integro-differential equations (IDEs) with modified Bernoulli polynomials

UP Singh - arxiv preprint arxiv:2008.00900, 2020 - arxiv.org
In this work, a new technique has been presented to find approximate solution of linear
integro-differential equations. The method is based on modified orthonormal Bernoulli …