EXISTENCE OF SOLUTIONS FOR THE HAUSDORFF DERIVATIVE FRACTIONAL THERMISTOR PROBLEM

F.-Z. Ladrani; A. Benaissa Cherif; Kh. Zennir; K. Bouhali; L. Alkhalifa

doi:10.11948/20250328

2027 Volume 17 Issue 1

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F.-Z. Ladrani, A. Benaissa Cherif, Kh. Zennir, K. Bouhali, L. Alkhalifa. EXISTENCE OF SOLUTIONS FOR THE HAUSDORFF DERIVATIVE FRACTIONAL THERMISTOR PROBLEM[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 374-388. doi: 10.11948/20250328

Citation:

F.-Z. Ladrani, A. Benaissa Cherif, Kh. Zennir, K. Bouhali, L. Alkhalifa. EXISTENCE OF SOLUTIONS FOR THE HAUSDORFF DERIVATIVE FRACTIONAL THERMISTOR PROBLEM[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 374-388. doi: 10.11948/20250328

EXISTENCE OF SOLUTIONS FOR THE HAUSDORFF DERIVATIVE FRACTIONAL THERMISTOR PROBLEM

1.
Department of Exact Sciences, Higher Training Teacher´s School of Oran Ammour Ahmed (ENSO), Oran, 31000, Algeria
2.
Department of Mathematics, College of Science, Qassim University, Saudi Arabia

Author Bio: Email: f.z.ladrani@gmail.com(F.-Z. Ladrani); Email: amin.benaissacherif@univ-usto.dz(A. Benaissa Cherif); Email: k.zennir@qu.edu.sa(Kh. Zennir); Email: k.bouhali@qu.edu.sa(K. Bouhali)
Corresponding author: Email: loay.alkhalifa@qu.edu.sa(L. Alkhalifa)
Fund Project: The Researchers would like to thank the Deanship of Graduate Studies and Scientific Research at Qassim University (www.qu.edu.sa) for financial support (QU-APC-2026)

Abstract

Abstract

In this work, we examine the existence of solutions for the fractional thermistor problem involving the Hausdorff derivative. Our approach leads to a generalized thermistor model formulated within the framework of Hausdorff fractional calculus. To establish the existence of solutions, we employ the Schauder fixed-point theorem in conjunction with the tube solution method, which extends the classical concepts of lower and upper solutions. Finally, an illustrative example is presented to demonstrate the applicability of the obtained results.
- Thermistor problems /
- Hausdorff fractional derivative /
- iterative methods /
- solution tube /
- Schauder fixed-point theorem /
- fractional derivatives
MSC: 34N05, 34A08, 34B15, 26A33, 26E70

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