Browsing by Author "Pimchana Siricharuanun"

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    Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters
    (Springer, 2020) Pimchana Siricharuanun; Saowaluck Chasreechai; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    We consider a fractional difference-sum boundary problem for a system of fractional difference equations with parameters. Using the Banach fixed point theorem, we prove the existence and uniqueness of solutions. We also prove the existence of at least one and two solutions by using the KrasnoselskiiÕs fixed point theorem for a cone map. Finally, we give some examples to illustrate our results. © 2020, The Author(s).
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    On a coupled system of fractional sum-difference equations with p-Laplacian operator
    (Springer, 2020) Pimchana Siricharuanun; Saowaluck Chasreechai; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both RiemannÐLiouville and Caputo fractional difference with five fractional differences and four fractional sums. The existence and uniqueness result of the problem is studied by using the Banach fixed point theorem. © 2020, The Author(s).
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    Some new simpsonÕs and newtonÕs formulas type inequalities for convex functions in quantum calculus
    (MDPI AG, 2021) Pimchana Siricharuanun; Samet Erden; Muhammad Aamir Ali; HŸseyin Budak; Saowaluck Chasreechai; Thanin Sitthiwirattham; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In this paper, using the notions of q_ 2-quantum integral and q_ 2-quantum derivative, we present some new identities that enable us to obtain new quantum SimpsonÕs and quantum NewtonÕs type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.